• (with Numan Sheikh) Some Hardness Results for Question/Answer Games, Vol 7

• (with Ali Boussayoud and Mohamed Kerada) Some Applications of Symmetric Functions, Vol 15

• (with Stefano Barbero, Umberto Cerruti, and Nadir Murru) Polynomial Sequences on Quadratic Curves, Vol 15

• (with Jean-Luc Chabert and Youssef Fares) Subsets of Z With Simultaneous Orderings, Vol 10

• (with Enrique Treviño) The Smoothed Pólya--Vinogradov Inequality, Vol 15

• A Novel Approach to the Discovery of Binary BBP-Type Formulas for Polylogarithm Constants, Vol 11

• (with Alberto Lekuona) Closed Form Expressions for the Stirling Numbers of the First Kind, Vol 17

• (with Ranganatha D.) A Simple Proof of a Conjecture of Dou on (3,7)-Regular Bipartitions Modulo 3, Vol 17

• (with Grant Cairns) A Property of Twin Primes, Vol 12
• (with Grant Cairns) The Quartic Residues Latin Square, Vol 17

• (with Karl Dilcher) Generalized Convolution Identities for Stirling Numbers of the Second Kind, Vol 8(1)
• (with Karl Dilcher) Convolution Identities for Stirling Numbers of the First Kind, Vol 10
• (with Karl Dilcher) Convolution and Reciprocity Formulas for Bernoulli Polynomials, Vol 11
• On the Miki and Matiyasevich Identities for Bernoulli Numbers, Vol 14
• (with Karl Dilcher) Representations of Stirling Numbers of the First Kind by Multiple Integrals, Vol 15
• Congruences Related to the Ankeny-Artin-Chowla Conjecture, Vol 16
• On Miki's Identity for Bernoulli Numbers, Vol 16

• Some New Van der Waerden Numbers and Some Van der Waerden-type Numbers, Vol 9
• Two New Van der Waerden Numbers: w(2;3,17) and w(2;3,18), Vol 10
• On Computation of Exact Van Der Waerden Numbers, Vol 11
• (with Michael G. Eldredge, Jonathan J. Marler, and Hunter S. Snevily) Strict Schur Numbers, Vol 13

• A Generalized Stern-Brocot Tree, Vol 17

• (with Sahar Siavashi) The Largest Known Wieferich Numbers, Vol 18

• (with Anthony B. Evans and Dan Pritikin) Representation Numbers of Stars, Vol 10

• (with Makoto Tagami) On the Number of Points in a Lattice Polytope, Vol 11

• (with Jamilah Alanazi) Representations by Quaternary Quadratic Forms with Coefficients 1, 2, 7 or 14, Vol 16
• Representations by Quaternary Quadratic Forms with Coefficients 1, 3, 5, or 15, Vol 18

• (with Yavuz Kesicioğlu) Representations by Certain Octonary Quadratic Forms With Coefficients 1, 2, 3, and 6, Vol 15

• (with Augustine O. Munagi and James A. Sellers) An Infinite Family of Congruences for ℓ-regular Overpartitions, Vol 16
• (with Augustine O. Munagi) On Partition Configurations of Andrews-Deutsch, Vol 17

• (with Ayşe Alaca) Representations by Quaternary Quadratic Forms with Coefficients 1, 2, 7 or 14, Vol 16

• (with Richard J. Nowakowski) Nim Restrictions, Vol 4
• (with J. P. Grossman, Richard J. Nowakowski, and David Wolfe) An Introduction to Clobber, Vol 5(2)

• On the Intersections of Fibonacci, Pell, and Lucas Numbers, Vol 11A

• (with Jacob Fox and Ron Graham), On Minimimal Colorings without Monochromatic Solutions to a Linear Equation, Vol 7(2)

• (with Steve Butler and Ron Graham) De Bruijn Sequences with Varying Combs, Vol 14A

• (with Bouroubi Sadek) Some Results on Balancing, Cobalancing, (a,b)-Type Balancing, and (a,b)-Type Cobalancing Numbers, Vol 13

• (with Haydar Göral and Doğa Can Sertbaş) Hyperharmonic Numbers Can Rarely Be Integers, Vol 18

• On the Periodicity of Genus Sequences of Quaternary Games, Vol 7

• A Remark on the Boros-Moll Sequence, Vol 11
• On the Stern Sequence and Its Twisted Version, Vol 12
• (with Thomas Baruchel) Variations on an Error-sum Function for the Convergents of Some Powers of e, Vol 16
• A Generalization of an Identity Due to Kimura and Ruehr, Vol 18A
• (with M. Mendès France and G. Skordev) Non-intersectivity of Paperfolding Dragon Curves and of Curves Generated by Automatic Sequences, Vol 18A

• (with Jacob Manske) A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid, Vol 12

• Restricted Integer Partition Functions, Vol 13

• Differences of Multiple Fibonacci Numbers, Vol 9

• (with Joshua Zelinsky) Numbers With Integer Complexity Close to the Lower Bound, Vol 12A
• Integer Complexity: Algorithms and Computational Results, Vol 18

• (with Andrej Dujella and Florian Luca) On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers, Vol 12A

• (with Helmut Prodinger) On Combinatorial Identities of Engbers and Stocker, Vol 17

• On the Least Primitive Root Expressible as a Sum of Two Squares, Vol 13

• A Note on Fibonacci-Type Polynomials, Vol 10
• (with D. Callan and V. Moll) Valuations and Combinatorics of Truncated Exponential Sums, Vol 13
• (with David Callan, Hideyuki Ohtsuka, and Roberto Tauraso) Revitalized Automatic Proofs: Demonstrations, Vol 17

• (with Albert Bush and Ernie Croot) Order-Preserving Freiman Isomorphisms, Vol 18

• (with S. T. Chapman, Natalie Hine, and João Paixão) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• (with D.A. Preece) Obtaining All or Half of U_n as ⟨ x ⟩ x ⟨ x+1 ⟩, Vol 12

• (with Steven J. Miller, Kyle Pratt, and Minh-Tam Trinh) Special Sets of Primes in Function Fields, Vol 14

• The Finite Heine Transform, Volume 9 Supplement
• (with Emeric Deutsch) A Note On a Method of Erdős and the Stanley-Elder Theorems, Vol 16
• (with David Newman) Binary Representations and Theta Function, Vol 18

• (with Eugen J. Ionascu) The Signum Equation for Erdős-Surányi Sequences, Vol 15A

• A Cameron and Erdős Conjecture on Counting Primitive Sets, Vol 18

• (with Margherita Barile) Two Very Short Proofs of a Combinatorial Identity, Vol 5(1)

• (with Yuho Sakai) On Divisibility of Generalized Fibonacci Numbers, Vol 15

• (with Doron Zeilberger) Searching for Strange Hypergeometric Identities by Sheer Brute Force, Vol 8(1)

• (with Richard Blecksmith and John Brillhart) Algorithms for Finding and Proving Balanced Q² Identities, Vol 7(2)
• (with Richard Blecksmith and John Brillhart) Proving Balanced T² and Q² Identities Using Modular Forms, Vol 11A

• Upper and Lower Bounds for a Function Related to Brown's Lemma, Vol 10
• (with Tom Brown, Veselin Jungić, and Julian Sahasrabudhe) On Abelian and Additive Complexity in Infinite Words, Vol 12

• (with Ferenc Bencs, Zoltán L. Blázsik, and Csaba Szabó) Compositions of Complements of Graphs, Vol 16
• (with Zoltán L. Blázsik, Bertalan Bodor, and Csaba Szabó) On the Complexity and Topology of Scoring Games: of Pirates and Treasure, Vol 17

• (with Emrah Kılıç) Ruehr's Identities with Two Additional Parameters, Vol 16

• (with Valérie Berthé, Zuzana Masáková, and Edita Pelantová) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)

• (with Alon Regev) Triangulations with Few Ears: Symmetry Classes and Disjointness, Vol 16

• (with Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Lukasz M. Fidkowski) Number Theory, Balls in Boxes, the Asymptotic Uniqueness of Maximal Discrete Order Statistics, Vol 0

• (with Aaron Robertson and Jeffrey Shallit) Van der Waerden's Theorem and Avoidability in Words, Vol 11

• (with M. Minter, K. Shoukry, P. Sissokho, and K. Voss) Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers, Vol 17

• (with Jacob Manske) On Monochromatic Subsets of a Rectangular Grid, Vol 8(1)

• New Bounds for the Prime Counting Function, Vol 16
• New Estimates for Some Functions Defined Over Primes, Vol 18
• Estimates for π(x) for Large Values of x and Ramanujan's Prime Counting Inequality, Vol 18

• (with Omar Kihel) The Number of Relatively Prime Subsets of {1, 2, ..., n}, Vol 9
• (with Omar Kihel) On Relatively Prime Sets, Vol 9

• (with Todd Cochrane and Sanying Shi) Modular Hyperbolas and the Congruence ax₁x₂…x_k + bx_k+1x_k+2…x_2k ≡ c mod m, Vol 18

B

• On Ternary Inclusion-Exclusion Polynomials, Vol 10
• (with Pieter Moree) On a Class of Ternary Inclusion-Exclusion Polynomials, Vol 11

• (with M. Matolcsi and I. Z. Ruzsa) Squares and Difference Sets in Finite Fields, Vol 13

• (with Ernie Croot, Mariah Hamel, and Derrick Hart) Sum-Product Inequalities With Perturbation, Vol 11A

• (with Justin Eitner) Polygonal-Sierpiński-Riesel Sequences with Terms Having at Least Two Distinct Prime Divisors, Vol 16

• Partition Regularity of Nonlinear Polynomials: A Nonstandard Approach, Vol 14

• A Note on P-sets, Vol 4

• (with Imre Ruzsa) The Independence Number of a Subset of an Abelian Group, Vol 3
• On Asymptotic Approximate Groups of Integers, Vol 17

• Generalized Golden Ratios Over Integer Alphabets, Vol 14
• (with Nikita Sidorov) Expansions in Non-Integer Bases: Lower Order Revisited, Vol 14

• (with Gautami Bhowmik), Upper Bounds for the Davenport Constant, Vol 7(2)
• (with Florian Luca) On the Number of Factorizations of an Integer, Vol 11

• (with Zuzana Masáková and Edita Pelantová) Complete Characterization of Substitution Invariant Sturmian Sequences, Vol 5(1)
• (with Zuzana Masáková and Edita Pelantová) Characterization of Substitution Invariant Words Coding Exchange of Three Intervals, Vol 8(1)

• (with Pierre Liardet and Oto Strauch) Distribution Functions of the Sequence φ(M)/M, M ∈ (K,K+N] As K, N Go to Infinity, Vol 10

• (with Nicole Berline, Jesús A. De Loera, Brandon E. Dutra, Matthias Köppe, and Michèle Vergne) Coefficients of Sylvester's Denumerant, Vol 15

• (with Karel Klouda and Edita Pelantová) Critical Exponent of Infinite Words Coding Beta-Integers Associated with Non-Simple Parry Numbers, Vol 11B
• Factor Frequencies in Languages Invariant under Symmetries Preserving Factor Frequencies, Vol 12

• An Elementary Method to Compute Prime Densities in F_Q, Vol 7(2)

• (with Kevin A. Broughan and Igor E. Shparlinski) Sum-Products Estimates with Several Sets and Applications, Vol 12

• A Note on Lerch’s Formulae for Euler Quotients, Vol 15

• (with Igor E. Shparlinski) Integers with a Large Smooth Divisor, Vol 7
• (with Ahmet M. Güloğlu and C. Wesley Nevans ) On the Congruence N ≡ A (mod ϕ(N)), Vol 8(1)
• (with Florian Luca) Power Totients With Almost Primes, Vol 11A
• (with Greg Martin) Optimal Primitive Sets with Restricted Primes, Vol 13
• Every Natural Number is the Sum of Forty-nine Palindromes, Vol 16

• (with Christiane Frougny and Attila Petho) A Note on Linear Recurrent Mahler Numbers, Vol 5(3)

• Partition Regularity of a System of De and Hindman, Vol 14

• (with Marco Abrate, Umberto Cerruti, and Nadir Murru) Polynomial Sequences on Quadratic Curves, Vol 15

• (with David J. Grynkiewicz) Long Arithmetic Progressions in Small Sumsets, Vol 10

• (with Micha Moffie, Ares Ribó, and Günter Rote) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with Roberto Anglani) Two Very Short Proofs of a Combinatorial Identity, Vol 5(1)

• (with Chiranjit Ray) New Congruences for Overpartitions Into Odd Parts, Vol 18

• (with Jonali Bora) Further Analogues of the Rogers-Ramanujan Functions with Applications to Partitions, Vol 7(2)
• (with Bidyut Boruah) Two Theta Function Identities of Ramanujan and Representation of a Number as a Sum of Three Squares and as a Sum of Three Triangular Numbers, Vol 12
• (with Bipul Kumar Sarmah) The Number of Representations of a Number as Sums of Various Polygonal Numbers, Vol 12
• (with Kanan Kumari Ojah) Partitions With Designated Summands in Which All Parts Are Odd, Vol 15

• (with J.-P. Allouche) Variations on an Error-sum Function for the Convergents of Some Powers of e, Vol 16

• (with Surahmat and H. J. Broersma) The Ramsey Numbers of Large Cycles versus Small Wheels, Vol 4

• The Stern-Brocot Continued Fraction, Vol 14

• (with Anthony Sofo) On Finite Sums and Integral Representations, Vol 13

• (with Nikhil Kumar and Amitabha Tripathi) On a Linear Diophantine Problem Involving the Fibonacci and Lucas Sequences, Vol 15

• (with Dominic Klyve) On the Sum of Reciprocals of Amicable Numbers, Vol 11A
• (with Dominic Klyve and Tomás Oliveira e Silva) New Bounds and Computations on Prime-Indexed Primes, Vol 13

• (with Curtis Kifer) An Extreme Family of Generalized Frobenius Numbers, Vol 11

• (with Victor Luo, Steven J. Miller, Karen Shen, and Nicholas Triantafillou) Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, Vol 15

• (with Hannah Green and Russell T. Harper) Peg Solitaire on Caterpillars, Vol 17

• (with Ognain Trifonov), On a Problem of Ore, Vol 7(2)

• (with Farid Bencherif) Linear Recurrent Sequences and Powers of a Square Matrix, Vol 6
• (with Miloud Mihoubi) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part I, Vol 11
• (with Miloud Mihoubi) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part II, Vol 11
• (with Miloud Mihoubi) Generalization of Universal Partition and Bipartition Theorems, Vol 13

• Diagonal Peg Solitaire, Vol 7
• (with Daniel S. Hirschberg and Pablo Guerrero-García) The Minimum Size Required of a Solitaire Army, Vol 7
• The Shortest Game of Chinese Checkers and Related Problems, Vol 9

(with Hacène Belbachir) Linear Recurrent Sequences and Powers of a Square Matrix, Vol 6

• (with Péter Árendás, Zoltán L. Blázsik, and Csaba Szabó) Compositions of Complements of Graphs, Vol 16

• (with David Gaebler and Robert Gaebler) A Combinatorial Approach to Hyperharmonic Numbers, Vol 3
• (with Doron Zeilberger) Pythagorean Primes and Palindromic Continued Fractions, Vol 5(1)
• (with Mark A. Shattuck) Recounting Determinants for a Class of Hessenberg Matrices, Vol 7

• A Question of Sierpinski on Triangular Numbers, Vol 5(1)
• Perfect Powers With Few Ternary Digits, Vol 12A

• (with Sadek Bouroubi) Integer Partitions into Arithmetic Progressions with an Odd Common Difference, Vol 9

• (with Péter Hajnal) Combinatorial Properties of Poly-Bernoulli Relatives, Vol 17

• (with Velleda Baldoni, Jesús A. De Loera, Brandon E. Dutra, Matthias Köppe, and Michèle Vergne) Coefficients of Sylvester's Denumerant, Vol 15

• Reformed Permutations in Mousetrap and Its Generalizations, Vol 10

• (with Anne Siegel) Tilings Associated with Beta-numeration and Substitutions, Vol 5(3)
• (with Pierre Arnoux, Zuzana Masáková, and Edita Pelantová) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)
• Multidimensional Euclidean Algorithms, Numeration and Substitutions, Vol 11b

• (with Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16

• (with R. Balasubramanian) Upper Bounds for the Davenport Constant, Vol 7(2)
• (with Immanuel Halupczok and Jan-Christoph Schlage-Puchta) Inductive Methods and Zero-sum Free Sequences, Vol 9

• (with Bilal Khan and Delaram Kahrobaei) A Graphic Generalization of Arithmetic, Vol 7

• Some Problems in View of Recent Developments of the Erdős Ginzburg Ziv Theorem, Vol 7(2)
• (with Tran Dinh Luong) An Analogue of the Erdős-Ginzburg-Ziv Theorem for Quadratic Symmetric Polynomials, Vol 9
• (with Bryan Wilson) On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence, Vol 9

• Partition of an Integer into Distinct Bounded Parts, Identities and Bounds, Vol 12

• (with Yves Edel) Families of Nets of Low and Medium Strength, Vol 5(3)
• (with Wolfgang Ch. Schmid) An Asymptotic Gilber-Varshamov Bound for (t,m,s)-nets, Vol 5(3)

• (with Juan B. Gil and Michael D. Weiner) On Hensel's Roots and a Factorization Formula in Z[[x]], Vol 14
• (with Juan B. Gil and Michael D. Weiner) Linear Recurrence Sequences With Indices in Arithmetic Progression and Their Sums, Vol 16

• Three Notes on Ser's and Hasse's Representations for the Zeta-functions, Vol 18A

• (with Eric Duchêne and Sylvain Gravier) A Deletion Game on Graphs: Le Pic Arête, Vol 6

• (with James D. Currie, Narad Rampersad, and Nathan Fox) Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1, Vol 14

• (with Aviezri S. Fraenkel) Tromping Games: Tiling With Trominoes, Vol 11A

• (with Frank Harary and Rogério Reis) Partitions into Sum-free Sets, Vol 6

• (with Péter Árendás, Ferenc Bencs, and Csaba Szabó) Compositions of Complements of Graphs, Vol 16
• (with Péter Árendás, Bertalan Bodor, and Csaba Szabó) On the Complexity and Topology of Scoring Games: of Pirates and Treasure, Vol 17

• (with Geoffrey Apel and John Brillhart) Algorithms for Finding and Proving Balanced Q² Identities, Vol 7(2)
• (with Geoffrey Apel and John Brillhart) Proving Balanced T² and Q² Identities Using Modular Forms, Vol 11A

• (with Andries Brouwer and Benne de Weger) Binomial Collisions and Near Collisions, Vol 17

• (with Julien M. Hendrickx and Raphaël M. Jungers) Solitaire Clobber as an Optimization Problem on Words, Vol 8(1)

• (with Byron Heersink and Paul Spiegelhalter) Gap Distribution of Farey Fractions under Some Divisibility Constraints, Vol 13

• (with Péter Árendás, Zoltán L. Blázsik, and Csaba Szabó) On the Complexity and Topology of Scoring Games: of Pirates and Treasure, Vol 17

• On Mullin's Second Sequence of Primes, Vol 12A

• (with Matt DeVos and Amanda Montejano) New Proof of Kemperman's Theorem, Vol 15

• (with Nayandeep Deka Baruah) Further Analogues of the Rogers-Ramanujan Functions with Applications to Partitions, Vol 7(2)

• On the Higher-Dimensional Generalization of a Problem of Roth, Vol 13

• (with Nayandeep Deka Baruah) Two Theta Function Identities of Ramanujan and Representation of a Number as a Sum of Three Squares and as a Sum of Three Triangular Numbers, Vol 12

• (with Jonathan M. Borwein, Armin Straub, and James Wan) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• (with David Borwein, Armin Straub, and James Wan) Log-Sine Evaluations of Mahler Measures, II, Vol 12A
• (with Christopher Maitland and Matthew Skerritt) Computation of an Improved Lower Bound to Giuga's Primality Conjecture, Vol 13

• (with Michel Dekking and Wolfgang Steiner) A Remarkable Integer Sequence Related to π and √2, Vol 18A

• (with Nesrine Benyahia Tani) Integer Partitions into Arithmetic Progressions with an Odd Common Difference, Vol 9
• (with Debbache Ali) Some Results on Balancing, Cobalancing, (a,b)-Type Balancing, and (a,b)-Type Cobalancing Numbers, Vol 13

• (with Abdelhamid Abderrezzak and Mohamed Kerada) Some Applications of Symmetric Functions, Vol 15

• (with Ron Evans, Victor Luo, and Steven J Miller) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13

• The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini, and Simons, Vol 10

• (with William J. Keith) Stabilization of Coefficients for Partition Polynomials, Vol 13

• (with Martin Griffiths) A Combinatorial Proof of a Family of Multinomial-Fibonacci Identities, Vol 14

• (with Robert Davis, Jessica Doering, Ashley Harrison, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with Hieu D. Nguyen) The Area of the Mandelbrot Set and Zagier's Conjecture, Vol 18

• (with Lenny Jones, Alicia Lamarche, and Maria Markovich) A Problem Related to a Conjecture of Polignac, Vol 16

• (with Frederik von Heymann) Staircases in Z², Vol 10

• Ducci Sequences in Higher Dimensions, Vol 7

• A Combinatorial Interpretation of the Poly-Bernoulli Numbers and Two Fermat Analogues, Vol 8(1)

• (with Geoffrey Apel and Richard Blecksmith) Algorithms for Finding and Proving Balanced Q² Identities, Vol 7(2)
• (with Geoffrey Apel and Richard Blecksmith) Proving Balanced T² and Q² Identities Using Modular Forms, Vol 11A

• (with Surahmat and E. T. Baskoro) The Ramsey Numbers of Large Cycles versus Small Wheels, Vol 4

• Asymptotic Order of the Square-free Part of N!, Vol 2
• (with Florian Luca and Igor E. Shparlinski) Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem, Vol 10
• (with Marcos J. González, Ryan H. Lewis, Florian Luca, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A
• An Explicit Bound for Aliquot Cycles of Repdigits, Vol 12
• (with Antal Balog and Igor E. Shparlinski) Sum-Products Estimates with Several Sets and Applications, Vol 12
• (with Qizhi Zhou) Odd Repdigits to Small Bases are Not Perfect, Vol 12
• (with Daniel Delbourgo and Qizhi Zhou) Improving the Chen and Chen Result for Odd Perfect Numbers, Vol 13
• (with Tim Trudgian) Robin's Inequality for 11-free Integers, Vol 15

• (with Gabor Horvath, Ildiko Molnar-Saska, and Csaba Szabo) On Three-rowed Chomp, Vol 5(1)
• (with Aart Blokhuis and Benne de Weger) Binomial Collisions and Near Collisions, Vol 17

• (with Robert Cass, Kevin James, Rodney Keaton, Salvatore Parenti, and Daniel Shankman) Counting Tamely Ramified Extensions of Local Fields up to Isomorphism, Vol 16

• (with Scott M. Dunn and Joshua Harrington) Arithmetic Progressions in the Polygonal Numbers, Vol 12

• (with Neil J. Calkin, Kevin James, Adam J. King, Shannon Lockard, and Rober t C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• Monochromatic Forests of Finite Subsets of N, Vol 0
• A Partition of the Non-Negative Integers, with Applications, Vol 5(2)
• (with Hayri Ardal, Veselin Jungić, and Julian Sahasrabudhe) On Abelian and Additive Complexity in Infinite Words, Vol 12
• Approximations of Additive Squares in Infinite Words, Vol 12
• (with Veselin Jungić and Andrew Poelstra) On Double 3-Term Arithmetic Progressions, Vol 14
• Monochromatic Solutions of Exponential Equations, Vol 15A
• (with Allen R. Freedman) Sequences on Sets of Four Numbers, Vol 16

• (with Montserrat Maureso) Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles, Vol 11

• (with Edwin O'Shea) Relaxed Complete Partitions: An Error-correcting Bachet’s Problem, Vol 18

• Symmetric CNS Polynomials, Vol 9
• A Class of Quadrinomial Garsia Numbers, Vol 11b
• A Unified Proof of Two Classical Theorems on CNS Polynomials, Vol 12

• (with Nicole Calkins, William Nathan Hack, Joshua Lambert, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11
• (with Matthew Stender and Yanbo Zhang) Weakened Ramsey Numbers and Their Hypergraph Analogues, Vol 17

• On the β-Expansion of an Algebraic Number in an Algebraic Base β, Vol 9
• (with Tomislav Pejković) Explicit Examples of p-adic Numbers With Prescribed Irrationality Exponent, Vol 18A

• (with Brian Hopkins) Tableau Cycling and Catalan Numbers, Vol 7

• 2³ Quantified Boolean Formula Games and Their Complexities, Vol 15A

• (with Eli Goldstein, Sarah Manski, Steven J. Miller, Eyvindur Ari Palsson, and Hong Suh) Crescent Configurations, Vol 16

• Conjugacy Classes and Class Number, Vol 9

• (with Abbas Alhakim and Ron Graham) De Bruijn Sequences with Varying Combs, Vol 14A
• (with Paul Erdős and Ron Graham) Egyptian Fractions with Each Denominator Having Three Distinct Prime Divisors, Vol 15

• (with Gagik Amirkhanyan and Ernie Croot) Order-Preserving Freiman Isomorphisms, Vol 18

• (with Michael Ciere) Playing Simple Loony Dots-and-Boxes Endgames Optimally, Vol 14

• Twelfth Power Qualified Residue Difference Sets, Vol 9

• Exponential Sums Over Subgroups Generated by 2, Vol 18

• Poset Game Periodicity, Vol 3

• Inclusion-Exclusion Polynomials with Large Coefficients, Vol 13

C

• On a Set of Fixed Points Related to Both Fermat and Mersenne Primes, Vol 18

• (with Nhan Bao Ho) Min, A Combinatorial Game Having a Connection With Prime Numbers, Vol 10
• (with Christian Aebi) A Property of Twin Primes, Vol 12
• (with Christian Aebi) The Quartic Residues Latin Square, Vol 17

• (with Takao Komatsu) Powers of Sierpiński Numbers Base B, Vol 10

• (with Steven R. Finch and Timothy B. Flowers) Difference Density and Aperiodic Sum-Free Sets, Vol 5(2)
• (with Morgan V. Brown, Kevin James, Adam J. King, Shannon Lockard, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6
• (with Nate Drake, Kevin James, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)
• (with Julia Davis, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Mark Budden, William Nathan Hack, Joshua Lambert, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• A Combinatorial Proof of Sun's "Curious" Identity, Vol 4
• (with T. Amdeberhan and V. Moll) Valuations and Combinatorics of Truncated Exponential Sums, Vol 13
• (with Tewodros Amdeberhan, Hideyuki Ohtsuka, and Roberto Tauraso) Revitalized Automatic Proofs: Demonstrations, Vol 17

• (with Anant Godbole and Bill Kay) Contributions to the Theory of de Bruijn Cycle, Vol 14A

• On Optimal Play in the Game of Hex, Vol 4

• (with Juanjo Rué and Oriol Serra) Memorial to Javier Cilleruelo: A Problem List, Vol 18

• (with Carl Pomerance) On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind, Vol 2
• (with Carl Pomerance) Corrigendum to Article A1, Volume 2(2002) (On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind), Vol 5(1)

• A New Proof of Winquist's Identity, Vol 11

• (with Neil Hindman and Dona Strauss) Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Cech Compactification, Vol 5(2)

• (with Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, and S andra Vinagre) A Recursive Process Related to a Partizan Variation of Wythoff, Vo l 12

• (with Jim Brown, Kevin James, Rodney Keaton, Salvatore Parenti, and Daniel Shankman) Counting Tamely Ramified Extensions of Local Fields up to Isomorphism, Vol 16

• (with Michael Coons and Jordan Velich) Strong Normality and Generalized Copeland--Erdős Numbers, Vol 16

• (with Jean-Louis Nicolas and Jonathan Sondow) Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis, Vol 11

• (with Serge Grigorieff and Irène Guessarian) Characterizing Congruence Preserving Functions Z/nZ → Z/mZ Via Rational Polynomials, Vol 16

• (with David Joyner, Caroline Melles, David Phillips, and Steven Walsh) Edge-weighted Cayley Graphs and p-ary Bent Functions, Vol 16

• (with Gian Mario Gianella) On Sums of Squares of Pell-Lucas Numbers, Vol 6

• (with Marco Abrate, Stefano Barbero, and Nadir Murru) Polynomial Sequences on Quadratic Curves, Vol 15

• (with David Adam and Youssef Fares) Subsets of Z With Simultaneous Orderings, Vol 10

• (with Jittinart Rattanamoong and Vichian Laohakosol) Generalized Folding Lemmas in the Field of Formal Series and Their Applications, Vol 15

• (with Si Ying Lee) Congruences Associated with the Modular j-Invariant, Vol 17

• Analogs of the Stern Sequence, Vol 11

• Distribution of Differences Between Inverses of Consecutive Integers Modulo p, Vol 4
• Finding Almost Squares II, Vol 5(1)
• Finding Almost Squares III, Volume 9 Supplement
• A Short Note on the Difference Between Inverses of Consecutive Integers Modulo p, Vol 9
• Finding Almost Squares V, Vol 10
• Product of a Number and its Multiplicative Inverse, Moments of L-functions and Exponential Sums, Vol 16
• Shortest Distance in Modular Cubic Polynomials, Vol 17
• Numbers with Three Close Factorizations and Lattice Points on Hyperbolas, Vol 18

• (with Richard M. Low) An Atlas of N- and P-positions in `Nim With a Pass', Vol 15

• (with Eugen J. Ionascu) A Characterization of All Equilateral Triangles in Z³, Vol 8(1)

• Some Problems in Combinatorial Number Theory, Vol 8(2)

• (with Piotr Micek, Torsten Ueckerdt, and Veit Wiechert) A Note on Concurrent Graph Sharing Games, Vol 16

• (with Alex Iosevich) On Rapid Generation of SL₂(F_q), Vol 9

• An Infinite Family of Dual Sequence Identities, Vol 5(1)
• Lagrange Inversion and Stirling Number Convolutions, Vol 8(1)

• (with William W. Smith) A Characterization of Minimal Zero-Sequences of Index One in Finite Cyclic Groups, Vol 5(1)
• (with Jeff Amos, Natalie Hine, and João Paixão) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• On a Problem of Molluzzo Concerning Steinhaus Triangles in Finite Cyclic Groups, Vol 8(1)
• (with Shalom Eliahou) On the Problem of Molluzzo for the Modulus 4, Vol 12

• (with Michel Rigo and Wolfgang Steiner) Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant, Vol 8(1)
• (with Narad Rampersad, Michel Rigo, and Laurent Waxweiler) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b

• (with Svetoslav Savchev) Minimal Zero-sum Sequences of Maximum Length in the Group C₃ ⊕ C_3k, Vol 7
• (with Svetoslav Savchev) Long Minimal Zero-Sum Sequences in the Group C₂⊕ C_2k, Vol 12
• (with Svetoslav Savchev) Long Minimal Zero-Sum Sequences in the Groups C₂^r-1 ⊕ C_2k, Vol 14

• (with Quan-Hui Yang) On Bases With a T-Order, Vol 11

• A Refinement of a Partition Theorem of Sellers, Vol 4

• (with Sami Assaf, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• Congruences for Overpartition k-Tuples, Vol 10

• (with Li-Xia Dai) Congruences with Factorials Modulo p, Vol 6
• (with Jin-Hui Fang) Triangular Numbers in Geometric Progression, Vol 7
• (with Jin-Hui Fang) On N | φ(N)D(N)+2 and N | φ(N)σ(N)+1, Vol 8(1)
• (with Wen Jiang) Catalan Numbers Modulo a Prime Power, Vol 13
• (with Vsevolod F. Lev) Integer Sets with Identical Representation Functions, Vol 16

• (with Hsuan-Chu Li and Eng-Tjioe Tan) Counting Determinants of Fibonacci -Hessenberg Matrices Using LU Factorizations, Vol 9

• A Probabilistic Look at Series Involving Euler's Totient Function, Vol 12

• (with Bruce E. Sagan) The Fractal Nature of the Fibonomial Triangle, Vol 14

• Congruences for 1-Shell Totally Symmetric Plane Partitions, Vol 17
• New Congruences for l-Regular Overpartitions, Vol 17

• (with Sami Assaf, Li-Chung Chen, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Sukumar Das Adhikari) Number of Weighted Subsequence Sums With Weights in {1, -1}, Vol 11
• (with Prabal Paul and R. Thangadurai) On Short Zero-sum Sequences Over Abelian p-groups, Vol 17

• (with Yotsanan Meemark) Lerch's Theorems Over Function Fields, Vol 10

• Sums and Products of Distinct Sets and Distinct Elements in C, Vol 10

• (with Louis W. Kolitsch and Andrew V. Sills) Partition Recurrences, Vol 18B

• Equal Sums of Like Powers with Minimum Number of Terms, Vol 16

• (with A. David Christopher) On Asymptotic Formula of the Partition Function p_A(n), Vol 15

• (with M. Davamani Christober) On Asymptotic Formula of the Partition Function p_A(n), Vol 15

• (with Leontina Veliana Di Claudio) Jensen Proof of a Curious Binomial Identity, Vol 3
• (with Xiaoyuan Wang) Multiple Convolution Formulae on Classical Combinatorial Numbers, Vol 7

• (with Ron Graham) Universal Juggling Cycles, Vol 7(2)

• (with Shiyu Li) On the Residue Classes of π(n) Modulo t, Vol 13

• (with Kevin Buzzard) Playing Simple Loony Dots-and-Boxes Endgames Optimally, Vol 14

• Gaps in Dense Sidon Sets, Vol 0

• On the Complexity of N-Player Hackenbush, Vol 9

• Waring's Number in a Finite Field, Vol 9
• (with Todd Cochrane) Sum-Product Estimates Applied to Waring's Problem Over Finite Fields, Vol 11

• Quadratic Diophantine Equations with Infinitely Many Solutions in Positive Integers, Vol 15

• Central and Local Limit Theorems for Excedances by Conjugacy Class and by Derangement, Vol 2
• Multiplicities of Integer Arrays, Vol 10

• (with Jacob Hicks, Katherine Thompson, and Nathan Walters) GoNII: Universal Quaternary Quadratic Forms, Vol 12
• (with Jacob Hicks, Hans Parshall, and Katherine Thompson) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13

• A Note on Finite Sums of Products of Bernstein Basis Polynomials and Hypergeometric Polynomials, Vol 18

• (with Christopher Pinner) The Lind-Lehmer Constant for 3-groups, Vol 18

• (with Adrian Iordache and Alexandru Zaharescu) The Relative Size of Consecutive Odd Denominators in Farey Series, Vol 3

• (with Christopher Pinner) Sum-product Estimates Applied to Waring's Problem Mod p, Vol 8(1)
• (with James Cipra) Sum-Product Estimates Applied to Waring's Problem Over Finite Fields, Vol 11
• (with Anwar Ayyad and Sanying Shi) Modular Hyperbolas and the Congruence ax₁x₂…x_k + bx_k+1x_k+2…x_2k ≡ c mod m, Vol 18

• (with Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, João Pedro Neto, and Sandra Vinagre) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• (with Ronald M. Sorli) On Odd Perfect Numbers and Even 3-Perfect Numbers, Vol 12A

• Variations on a Theme of Euclid, Vol 5(1)

• (with Zachary Gabor and Anant Godbole) The Location of the First Ascent in a 123-Avoiding Permutation, Vol 15

• On Some Conjectures Concerning Stern's Sequence and Its Twist, Vol 11
• A Correlation Identity for Stern's Sequence, Vol 12
• (with Elliot Catt and Jordan Velich) Strong Normality and Generalized Copeland--Erdős Numbers, Vol 16
• Mahler Takes a Regular View of Zaremba, Vol 18A

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Michael Hirschhorn) A Combinatorial Proof of a Result from Number Theory, Vol 4
• (with Sanoli Gun, Michael Hirschhorn, and B. Ramakrishnan) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)
• (with Heung Yeung Lam and Dongxi Ye) Representations of Squares by Certain Septenary Quadratic Forms, Vol 13

• (with John Steinberger) On the Entry Sum of Cyclotomic Arrays, Vol 6

• On the Symmetry of Divisor Sums Functions in Almost All Short Intervals, Vol 4

• (with Sándor Szabó) Factorization Results with Combinatorial Proofs, Vol 9

• (with Randy W. Ho) A Note on 3-free Permutations, Vol 17

• (with Carla D. Savage) Plane Partition Diamonds and Generalizations, Vol 3
• (with Carla D. Savage and Herbert S. Wilf) A Note on Partitions and Compositions Defined by Inequalities, Vol 5(1)
• (with Sunyoung Lee and Carla D. Savage) Five Guidelines for Partition Analysis with Applications to Lecture Hall-type Theorems, Vol 7(2)

• (with Karl Dilcher) Extensions of the Gauss-Wilson Theorem, , Vol 8(1)

• (with James A. Sellers) Arithmetic Properties for Hyper m-ary Partition Functions, Vol 4

• The Googol-th Bit of the Erdős--Borwein Constant, Vol 12

• Sums of the Form 1/x₁^k + ... + 1/x_n^k Modulo a Prime, Vol 4
• (with Imre Ruzsa and Tomasz Schoen) Arithmetic Progressions in Sparse Sumsets, Vol 7(2)
• (with Spencer Backman, Mariah Hamel, and Derrick Hart) Sum-Product Inequalities With Perturbation, Vol 11A
• (with Gagik Amirkhanyan and Albert Bush) Order-Preserving Freiman Isomorphisms, Vol 18

• (with Ryan R. Martin and András Pluhár) On the Complexity of Chooser-Picker Positional Games, Vol 11

• (with Farshid Hajir) Primes of Prescribed Congruence Class in Short Intervals, Vol 12

• (with Bruce Landman and Aaron Robertson) Some New Exact van der Waerden Numbers, Vol 5(2)

• (with F. Blanchet-Sadri, Narad Rampersad, and Nathan Fox) Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1, Vol 14

• (with Taylor Hines, Glenn Hurlbert, and Tatiana Moyer) On Pebbling Graphs By Their Blocks, Vol 9

• (with Yuan Li and Pantelimon Stănică) On a Combinatorial Conjecture, Vol 11

D

• (with Ranganatha D.) A Simple Proof of a Conjecture of Dou on (3,7)-Regular Bipartitions Modulo 3, Vol 17

• Arithmetic of 3^t-Core Partition Functions, Vol 15

• (with Yong-Gao Chen) Congruences with Factorials Modulo p, Vol 6

• (with Charlene Kalle) Transformations Generating Negative β-Expansions, Vol 11b

• (with Bernadette Faye, Florian Luca, and Amadou Tall) Fibonacci Numbers with Prime Sums of Complementary Divisors, Vol 14

• (with E. E. Pyle) Maximum GCD Among Pairs of Random Integers, Vol 11

• (with Purusottam Rath) Davenport Constant with Weights and Some Related Questions, Vol 6
• (with Chantal David and Jorge Jiménez Urroz) Generalizations of Some Zero-sum Theorems, Vol 8(1)
• (with Mohan N. Chintamani) Number of Weighted Subsequence Sums With Weights in {1, -1}, Vol 11
• (with Eshita Mazumdar) Modifications of Some Methods in the Study of Zero-Sum Constants, Vol 14
• (with Eshita Mazumdar and B. K. Moriya) Relation Between Two Weighted Zero-sum Constants, Vol 16

• Integrality of Quotients of Wronskians of the Andrews-Gordon Series, Vol 6

• (with Sukumar Das Adhikari and Jorge Jiménez Urroz) Generalizations of Some Zero-sum Theorems, Vol 8(1)

• Divisibility by 2 and 3 of Certain Stirling Numbers, Vol 8(1)
• Coefficients in Powers of the Log Series, Vol 11

• (with Neil J. Calkin, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Benjamin Braun, Jessica Doering, Ashley Harrison, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• Combined Algebraic Properties of Central* Sets, Vol 7
• Additive and Multiplicative Structures of C^★-Sets, Vol 14
• (with Subhajit Jana) Image Partition Regularity over the Gaussian Integers, Vol 17

• On the Equation m-1 = a (m), Vol 6
• An Identity Involving Multiplicative Orders, Vol 8(1)

• Proof of the Prime Ladder Conjecture, Vol 17

• On Sparsely Schemmel Totient Numbers, Vol 15
• Ranges of Unitary Divisor Functions, Vol 18

• (with Armando Gonçalves) The Generating Function of the Generalized Fibonacci Sequence, Vol 15

• (with Wieb Bosma and Wolfgang Steiner) A Remarkable Integer Sequence Related to π and √2, Vol 18A
• Substitution Invariant Sturmian Words and Binary Trees, Vol 18A

• (with Florian Luca) On Strings of Consecutive Economical Numbers of Arbitrary Length, Vol 5(2)
• (with Nicolas Doyon) On the Distance Between Smooth Numbers, Vol 11

• (with Nicole Berline, Nicole Berline, Brandon E. Dutra, Matthias Köppe, and Michèle Vergne) Coefficients of Sylvester's Denumerant, Vol 15

• Arithmetic of the Fabius Function, Vol 18

• (with Tomas Boothby and Amanda Montejano) New Proof of Kemperman's Theorem, Vol 15
• On a Generalization of the Cauchy-Davenport Theorem, Vol 16

• A Generalized Ramanujan-Nagell Equation Related to Certain Strongly Regular Graphs, Vol 14
• (with Aart Blokhuis and Andries Brouwer) Binomial Collisions and Near Collisions, Vol 17

• (with Kevin A. Broughan and Qizhi Zhou) Improving the Chen and Chen Result for Odd Perfect Numbers, Vol 13

• (with Neil J. Calkin, Julia Davis, Zebediah Engberg, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Guillermo Pineda-Villavicencio) Continuants and Some Decompositions Into Squares, Vol 15

• (with Pingzhi Yuan) On a Combinatorial Conjecture of Tu and Deng, Vol 12

• (with Yanbin Pan) The Sum of Binomial Coefficients and Integer Factorization, Vol 16

• Une Forme Effective d'un Théorème de Bateman sur la Fonction Phi d'Euler, Vol 9
• Ordre Maximum d'une Fonction Liée aux Diviseurs d'un Nombre Entier, Vol 12

• (with Gyan Prakash) Large Zero-Free Subsets of Z/pZ, Vol 11A
• (with R. Thangadurai) A Sufficient Condition for (θⁿ)_n to Have a Distribution Modulo One, When θ is in F₂(X), Vol 18A

• (with George E. Andrews) A Note On a Method of Erdős and the Stanley-Elder Theorems, Vol 16

• Bumby's Technique and a Result of Liouville on a Quadratic Form, Vol 8(2)
• A Quaternionic Proof of the Universality of Some Quadratic Forms, Vol 8(2)
• A Non-classical Quadratic Form of Hessian Discriminant 4 is Universal Over Q[√5], Vol 16

• Integer Subsets with High Volume and Low Perimeter, Vol 12

• On 2-Adic Orders of Stirling Numbers of the Second Kind, Vol 5(1)

• (with Balesh Kumar) An Analogue of Artin's Primitive Root Conjecture, Vol 16

• Euler Pseudoprimes for Half of the Bases, Vol 12A

• (with Wenchang Chu) Jensen Proof of a Curious Binomial Identity, Vol 3

• Embeddability Properties of Difference Sets, Vol 14
• (with Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg) Approximate Polynomial Structure in Additively Large Sets, Vol 16
• Intersections of Sets of Distance, Vol 16

• (with Alda Carvalho, Carlos P. Santos, Francisco Coelho, João Pedro Neto, and Sandra Vinagre) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• (with Fridrich Pillichshammer) The Figure of Merit of 2-dimensional Rank 2 Lattice Rules, Vol 5(3)

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• Building a Better Bijection Between Classes of Compositions, Vol 14

• (with Veli Kurt) Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I, Vol 12

• (with Ladislav Skula) The Cube of the Fermat Quotient, Vol 6
• (with Takashi Agoh) Generalized Convolution Identities for Stirling Numbers of the Second Kind, Vol 8(1)
• (with John B. Cosgrave) Extensions of the Gauss-Wilson Theorem, Vol 8(1)
• (with Takashi Agoh) Convolution Identities for Stirling Numbers of the First Kind, Vol 10
• (with Takashi Agoh) Convolution and Reciprocity Formulas for Bernoulli Polynomials, Vol 11
• (with Takashi Agoh) Representations of Stirling Numbers of the First Kind by Multiple Integrals, Vol 15
• (with Larry Ericksen) Factors and Irreducibility of Generalized Stern Polynomials, Vol 15
• (with Hayley Tomkins) Square Classes and Divisibility Properties of Stern Polynomials, Vol 18

• (with Laurent Imbert and Fabrice Philippe) On the Maximal Weight of (P,Q)-ary Chain Partitions With Bounded Parts, Vol 14

• A Characterization of Wilson-Lerch Primes, Vol 16

• (with Benjamin Barun, Robert Davis, Ashley Harrison, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with Anna Haensch) Primitive Prime Divisors in Zero Orbits of Polynomials, Vol 12

• (with Eric Duchêne and Sylvain Gravier) Solitaire Clobber Played on Hamming Graphs, Vol 8(1)

• (with Jorge Nuno Silva) Konane has Infinite Nim-dimension, Vol 8(1)
• (with Alda Carvalho, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, and Sandra Vinagre) A Recursive Process Related to a Partizan Variation of Wythoff, Vol 12

• (with Nándor Sieben) Edge Animal Weak (1,2)-Achievement Games, Vol 12

• (with Jerrold R. Griggs, Ross J. Kang, and Jean-Sébastien Sereni) Supersaturation in the Boolean Lattice, Vol 14A

• (with Kenneth S. Williams) A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers, Vol 17

• (with Jean-Marie De Koninck) On the Distance Between Smooth Numbers, Vol 11

• (with Neil Calkin, Kevin James, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• Positions of Value *2 in Generalized Domineering and Chess, Vol 5(1)
• An Update on Domineering on Rectangular Boards, Vol 14

• (with Hai-Tao Jin) Abel's Lemma and Identities on Harmonic Numbers, Vol 15

• (with Dan Liu and Tai-Man Tang) A Planar Integral Self-Affine Tile with Cantor Set Intersections With Its Neighbors, Vol 9

• (with Tomas Plankis) Periodicity of Some Recurrence Sequences Modulo m, Vol 8(1)

• (with Lois Blanc and Sylvain Gravier) A Deletion Game on Graphs: Le Pic Arête, Vol 6
• (with Paul Dorbec and Sylvain Gravier) Solitaire Clobber Played on Hamming Graphs, Vol 8(1)

• (with Vinko Petricevic) Square Roots with Many Good Approximants, Vol 5(3)
• Dujella, Andrej
• (with Saúl Díaz Alvarado and Florian Luca) On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers, Vol 12A

• (with Kenneth A. Brown and Joshua Harrington) Arithmetic Progressions in the Polygonal Numbers, Vol 12

• Note on the Diophantine Equation X^t + Y^t = BZ^t, Vol 11

• Representation of Integers by Ternary Quadratic Forms: A Geometric Approach, Vol 16

• (with Robert Erdahl and Konstantin Rybnikov) Perfect Delaunay Polytopes in Low Dimensions, Vol 7

• (with Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Köppe, and Michèle Vergne) Coefficients of Sylvester's Denumerant, Vol 15

• (with Josef Florian) A New Estimate on Complexity of Binary Generalized Pseudostandard Words, Vol 17
• (with Tereza Velká) Fixed Points of Morphisms Among Binary Generalized Pseudostandard Words, Vol 18

• (with Andrew Best, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16

• First Remark on a ζ-Analogue of the Stirling Numbers, Vol 11
• Generalizing Delannoy Numbers via Counting Weighted Lattice Paths, Vol 13

E

• (with Li Guo) Multiple Zeta Values and Rota-Baxter Algebras, Vol 8(2)

• (with Jurgen Bierbrauer) Families of Nets of Low and Medium Strengths, Vol 5(3)

• (with Andrew Best, Patrick Dynes, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16

• Totienomial Coefficients, Vol 14
• (with Hailey Olafson and James Van Alstine) Approximating the Fibonacci Sequence, Vol 16
• On the Number of Hyper m-ary Partitions, Vol 18

• (with Omer Yayenie) A New Generalization of Fibonacci Sequence and Extended Binet's Formula, Vol 9
• (with Scott Lewis and Omer Yayenie) The k-Periodic Fibonacci Sequence and an Extended Binet's Formula, Vol 11

• A Proof of the Mann-Shanks Primality Criterion Conjecture for Extended Binomial Coefficients, Vol 14

• (with Toufik Mansour) Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers, Vol 5(1)

• (with Mizan R. Khan, Alan H. Stein, and Christian L. Yankov) Sums and Differences of the Coordinates of Points on Modular Hyperbolas Volume 9 Supplement

• (with A. Hajian) Hereditary Tiling Sets of the Integers, Vol 8(1)

• (with Daniel Lichtblau, Adam Strzebonski, and Stan Wagon) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• (with Daniel Baczkowski) Polygonal-Sierpiński-Riesel Sequences with Terms Having at Least Two Distinct Prime Divisors, Vol 16

• (with Mohamud Mohammed) A WZ Proof of a "Curious" Identity, Vol 3

• The Number of Relatively Prime Subsets and Phi Functions for {m, m+1, ..., n}, Vol 7
• On the Number of Subsets of [1,m] Relatively Prime to n and Asymptotic Estimates, Vol 8(1)
• On Relatively Prime Subsets and Supersets, Vol 10
• Convolution Sums Involving Legendre-Jacobi Symbol and Divisor Functions, Vol 13

• (with Tanbir Ahmed, Jonathan J. Marler, and Hunter S. Snevily) Strict Schur Numbers, Vol 13

• (with Amanda Tucker) Consecutive Integers and the Collatz Conjecture, Vol 15

• (with Michel Kervaire) Restricted Sumsets in Finite Vector Spaces: The Case p=3, Vol 1
• (with Delphine Hachez) On Symmetric and Antisymmetric Balanced Binary Sequences, Vol 5(1)
• (with J.M. Marín and M.P. Revuelta) Zero-sum Balanced Binary Sequences, Vol 7(2)
• (with Jonathan Chappelon) On the Problem of Molluzzo for the Modulus 4, Vol 12

• (with Pierre McKenzie) On Generalized Addition Chains, Vol 14

• (with Glenn H. Hurlbert) An Application of Graph Pebbling to Zero-Sum Sequences in Abelian Groups, Vol 5(1)

• Newton Basis Relations and Applications to Integer-Valued Polynomials and q-Binomial Coefficients, Vol 14

• (with Martin Stein) On the Value Distribution of Error Sums for Approximations With Rational Numbers, Vol 12
• On Reciprocal Sums Formed by Solutions of Pell's Equation, Vol 16

• Odd Incongruent Restricted Disjoint Covering Systems, Vol 12A

• (with Alexander Prikhod'ko) On the Asymptotic Behavior of Density of Sets Defined by Sum-of-digits Function in Base 2, Vol 17

• The Diophantine Equation X⁴+Y⁴=D²Z⁴ in Quadratic Fields, Vol 12

• (with Dimitri Hendriks and Jan Willem Klop) Degrees of Streams, Vol 11b

• (with Neil J. Calkin, Julia Davis, Michelle Delcourt, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Christopher Stocker) Two Combinatorial Proofs of Identities Involving Sums of Powers of Binomial Coefficients, Vol 16
• (with Christopher Stocker) Combinatorial Proofs of Identities of Alzer and Prodinger and Some Generalizations, Vol 18

• (with Adam Lott, Steven J. Miller, and Eyvindur A. Palsson) Optimal Point Sets Determining Few Distinct Triangles, Vol 18

• (with Mathieu Dutour and Konstantin Rybnikov) Perfect Delaunay Polytopes in Low Dimensions, Vol 7

• An n-in-a-row Game, Vol 15

• (with Steve Butler and Ron Graham) Egyptian Fractions with Each Denominator Having Three Distinct Prime Divisors, Vol 15

• (with Karl Dilcher) Factors and Irreducibility of Generalized Stern Polynomials, Vol 15

• A Note on the Exact Expected Length of the kth Part of a Random Partition, Vol 10
• (with Markus Jonsson and Jonas Sjöstrand) An Exponential Limit Shape of Random q-proportion Bulgarian Solitaire, Vol 18

• More on the Fibonacci Sequence and Hassenberg Matrices, Vol 6

• (with Mark Shattuck) Combinatorial Proofs of Some Identities for the Fibonacci and Lucas Numbers, Vol 11

• (with Reza Akhtar and Dan Pritikin) Representation Numbers of Stars, Vol 10

• (with Joel David Hamkins) Transfinite Game Values in Infinite Chess, Vol 14
• (with Joel David Hamkins and Norman Lewis Perlmutter) A Position in Infinite Chess With Game Value ω⁴, Vol 17

• (with Amanda Bower, Victor Luo, and Steven J Miller) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13

• (with Benjamin V. Holt) Deriving Divisibility Theorems with Burnside's Theorem, Vol 5(1)

• Number of Binomial Coefficeints Divisible by a Fixed Power of a Prime, Vol 8(1)
• Subprime Factorization and the Numbers of Binomial Coefficients Exactly Divided by Powers of a Prime, Vol 11

F

• (with Weidong Gao, Jiangtao Peng, Linlin Wang, and Qinghai Zhong) Remarks on Tiny Zero-Sum Sequences, Vol 13

• (with Yong-Gao Chen) Triangular Numbers in Geometric Progression, Vol 7
• Nonexistence of a Geometric Progression that Contains Four Triangular Numbers, Vol 7
• (with Yong-Gao Chen) On N | φ(N)D(N)+2 and N | φ(N)σ(N)+1, Vol 8(1)
• Neither ∏ ⁿ_k=1 (4k²+1) Nor ∏ ⁿ_k=1 (2k(k-1)+1) is a Perfect Square, Vol 9

• (with David Adam and Jean-Luc Chabert) Subsets of Z With Simultaneous Orderings, Vol 10
• (with K. Johnson) The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers, Vol 12
• (with Keith Johnson) The Valuative Capacities of the Sets of Sums of Two and of Three Squares, Vol 16

• On the Average Asymptotic Behavior of a Certain Type of Sequence of Integers, Vol 9

• An Identity in the Generalized Fibonacci Numbers and its Applications, Vol 9

• Irregularities of Distribution of Digital (0,1)-sequences in Prime Base, Vol 5(3)

• (with Mohamed Taoufiq Damir, Florian Luca, and Amadou Tall) Fibonacci Numbers with Prime Sums of Complementary Divisors, Vol 14

• Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples, Vol 9
• Symmetric (Not Complete Intersection) Numerical Semigroups Generated by Five Elements, Vol 18

• (with Feng-Zhen Zhao) Some Results for Generalized Harmonic Numbers, Vol 9

• (with Pingzhi Yuan and Yongzhong Hu) On the Diophantine Equation x²-kxy+y²+lx=0, Vol 13

• (with Simone Rinaldi) Enumerations of Generalized Hook Partitions, Vol 5(1)

• (with Jayadev S. Athreya) Number Theory, Balls in Boxes, and the Asymptotic Uniqueness of Maximal Discrete Order Statistics, Vol 0

• (with Lenny Jones) On the Irreducibility of {-1,0,1}-Quadrinomials, Vol 6

• (with Neil J. Calkin and Timothy B. Flowers) Difference Density and Aperiodic Sum-Free Sets, Vol 5(2)

• A Generalization of an IMO Problem, Vol 6

• Subword Complexity and Laurent Series, Vol 11b

• Norm Euclidean Quaternionic Orders, Vol 11

• (with Leandro Junes) A Relation Between Triangular Numbers and Prime Numbers, Vol 11
• (with Robinson A. Higuita and Leandro Junes) 9-Modularity and GCD Properties of Generalized Fibonacci Numbers, Vol 14
• (with Robinson A. Higuita and Antara Mukherjee) Characterization of the Strong Divisibility Property for Generalized Fibonacci Polynomials, Vol 18
• (with Nathan McAnally and Antara Mukherjee) Identities for the Generalized Fibonacci Polynomial, Vol 18B

• (with Hugues Randriam) On the Number of Carries Occurring in an Addition Mod 2^k-1, Vol 12

• (with L'ubomíra Dvořáková (born Balková)) A New Estimate on Complexity of Binary Generalized Pseudostandard Words, Vol 17

• (with Neil J. Calkin and Steven R. Finch) Difference Density and Aperiodic Sum-Free Sets, Vol 5(2)
• (with Shannon R. Lockard) Identifying an m-ary Partition Identity Through an m-ary Tree, Vol 16

• On the Sum of Integers From Some Multiplicative Sets and Some Powers of Integers, Vol 18

• (with Florian Luca) The Number of Solutions of λ(x)=n, Vol 11A

• (with Rados Radoicic) On the Degree of Regularity of Generalized van der Waerden Triples, Vol 5(1)
• (with Boris Alexeev and Ron Graham) On Minimimal Colorings without Monochromatic Solutions to a Linear Equation, Vol 7(2)
• (with Veselin Jungić and Radoš Radoičić) Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples, Vol 7(2)

• (with F. Blanchet-Sadri, James D. Currie, and Narad Rampersad) Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1, Vol 14
• Quasipolynomial Solutions to the Hofstadter Q-Recurrence, Vol 16

• New Games Related to Old and New Sequences, Vol 4
• The Raleigh Game, Vol 7(2)
• (with Alex Kontorovich) The Sierpiński Sieve of Nim-varieties and Binomial Coefficients, Vol 7(2)
• (with Saúl A. Blanco) Tromping Games: Tiling With Trominoes, Vol 11A
• (with Yuval Tanny) A Class of Wythoff-Like Games, Vol 12B
• (with Nhan Bao Ho) When are Translations of P-positions of Wythoff's Game P-positions?, Vol 15A

• (with J.-P. Allouche and G. Skordev) Non-intersectivity of Paperfolding Dragon Curves and of Curves Generated by Automatic Sequences, Vol 18A

• (with Susan Hirshberg and David Wolfe) The Structure of the Distributive Lattice of Games Born by Day n, Vol 5(2)

• (with Tom C. Brown) Sequences on Sets of Four Numbers, Vol 16

• (with Tomas Schonbek and Wandi Wei) On the Tennis Ball Problem, Vol 11

• (with Florian Luca and Mihai Stoiciu) On the Irrationality of a Divisor Function Series, Vol 7

• (with Scott M. Garrabrant and Adam Scott andsberg) Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim, Vol 13

• Sums of Cubes over Odd-Index Fibonacci Numbers, Vol 18

• (with Guy Barat and Attila Petho) A Note on Linear Recurrent Mahler Numbers, Vol 5(3)

• (with James Sellers) Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs, Vol 12
• (with Ting Hua) On the Slack Euler Pair for Vector Partition, Vol 18

• Diophantine Problems with Linear Recurrences via the Subspace Theorem, Vol 5(3)

• Elementary Estimates for the Number of Pure Number Fields of Degree p, Vol 15

• (with Ryohei Miyadera and Maakito Inoue) Impartial Chocolate Bar Games with a Pass, Vol 16

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• (with Arthur T. Benjamin and Robert Gaebler) A Combinatorial Approach to Hyperharmonic Numbers, Vol 3

• (with Arthur T. Benjamin and David Gaebler) A Combinatorial Approach to Hyperharmonic Numbers, Vol 3

• (with Samuel Connolly and Anant Godbole) The Location of the First Ascent in a 123-Avoiding Permutation, Vol 15

• An Infinite Family of Quartic Polynomials Whose Products of Consecutive Values are Finitely Often Perfect Squares, Vol 17

• (with Alex Meadows and John Ross) Twist Untangle and Related Knot Games, Vol 14

• Distribution and Additive Properties of Sequences With Terms Involving Sumsets in Prime Fields, Vol 12

• (with Hernán Giraldo) Characterizations of Midy's Property, Vol 9

• (with Eric J. Friedman and Adam Scott Landsberg) Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim, Vol 13

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Joseph Palmer and Ha Ta) Self Generating Sets and Numeration Systems, Volume 9 Supplement

• (with James A. Sellers) Congruences for Generalized Frobenius Partitions with an Arbitrarily Large Number of Colors, Vol 14

• (with Sergey Kitaev and Philip B. Zhang) On Pattern Avoiding Indecomposable Permutations, Vol 18

• (with Paul Yiu and K.R.S Sastry) Heron Sequences and Their Modifications, Volume 9 Supplement

• Zero Sums in Finite Cyclic Groups, Vol 0
• (with Alfred Geroldinger) On Zero-Sum Sequences in Z/nZ + Z/nZ, Vol 3
• (with Q. H. Hou, W. A. Schmid, and R. Thangadurai) On Short Zero-Sum Subsequences II, Vol 7
• (with Jiangtao Peng) On the Number of Zero-Sum Subsequences of Restricted Size, Vol 9
• (with Linlin Wang) The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group, Vol 12
• (with Yushuang Fan, Jiangtao Peng, Linlin Wang, and Qinghai Zhong) Remarks on Tiny Zero-Sum Sequences, Vol 13

• (with Thomas Koshy) Triangular Numbers in the Jacobsthal Family, Vol 12

• (with Conrado Martinez, Daniel Panario, and Bruce Richmond) The r^th Smallest Part Size of a Random Integer Partition, Vol 14A

• (with Pontus Strimling) Nim with a Modular Muller Twist, Vol 4

• (with Peter Winkler) Two-Color Babylon, Vol 12

• Counting Finite Languages by Total Word Length, Vol 11

• Factorization of Constants Involved in Conjectural Moments of Zeta-functions, Vol 8(1)
• On the Equation a^x ≡x mod b, Vol 9

• (with Weidong Gao) On Zero-Sum Sequences in Z/nZ + Z/nZ, Vol 3

• (with Sourav Kanti Patra) Concerning Partition Regular Matrices, Vol 17

• (with Čerin, Zvonko) On Sums of Squares of Pell-Lucas Numbers, Vol 6

• Adjugates of Diophantine Quadruples, Vol 10

• A Density Chinese Remainder Theorem, Vol 14

• (with Matthew Just and Hua Wang) Note on Restricted Parts in Cyclic Compositions, Vol 18

• (with Daniel Birmajer and Michael D. Weiner) On Hensel's Roots and a Factorization Formula in Z[[x]], Vol 14
• (with Daniel Birmajer and Michael D. Weiner ) Linear Recurrence Sequences With Indices in Arithmetic Progression and Their Sums, Vol 16

• On the Density of Happy Numbers, Vol 13

• (with John H. Jaroma) Sylvester: Ushering in the Modern Era of Research on Odd Perfect Numbers, Vol 3

• On the Lambek-Moser Theorem, Vol 14

• (with M. S. Mahadeva Naika) Congruences for 3-Regular Partitions With Designated Summands, Vol 16

• (with Gilberto García-Pulgarín) Characterizations of Midy's Property, Vol 9

• Digital Sums and Functional Equations, Vol 11

• Equality of Dedekind Sums Modulo 24Z, Vol 17

• Communal Partitions of Integers, Vol 11
• Compositions of Integers With Bounded Parts, Vol 14

• Cycles in Repeated Exponentiation Modulo pⁿ, Vol 13

• (with Mark Schlatter) Analyzing Two-Color Babylon, Vol 11

• (with Chang Mou Lim, Vince Lyzinski, and Nicholas George Triantafillou) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13
• (with Andreé Alexander Campbell and Bill Kay) Contributions to the Theory of de Bruijn Cycle, Vol 14A
• (with Samuel Connolly and Zachary Gabor) The Location of the First Ascent in a 123-Avoiding Permutation, Vol 15
• (with Samuel Gutekunst, Vince Lyzinski, and Yan Zhuang) Logarithmic Representability of Integers as k-Sums, Vol 15A
• (with Zach Higgins and Zoe Koch) Finite Representability of Integers as 2-Sums, Vol 18B

• (with Jeremy Rouse) Sum of Two Repdigits a Square, Vol 17

• (with Erick B. Wong) Tight Instances of the Lonely Runner, Vol 6

• Edge Growth in Graph Squares, Vol 13

• Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins, Vol 9

• (with Mauro Di Nasso, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg) Approximate Polynomial Structure in Additively Large Sets, Vol 16

• (with David Burt, Sarah Manski, Steven J. Miller, Eyvindur Ari Palsson, and Hong Suh) Crescent Configurations, Vol 16

• (with C. Y. Yildirim) Higher Correlations of Divisor Sums Related to Primes I: Triple Correlations, Vol 3
• (with A. H. Ledoan) On the Differences Between Consecutive Prime Numbers, I, Vol 12B

• (with M. N. de Jesus) The Generating Function of the Generalized Fibonacci Sequence, Vol 15

• (with Chuanan Wei) Euler's Pentagonal Number Theorem Implies the Jacobi Triple Product Identity, Vol 11

• An Elementary Approach to Character Sums over Multiplicative Subgroups, Vol 16

• (with Scott Duke Kominers) On Congruence Conditions for Primality, Vol 10

• (with Kevin A. Broughan, Ryan H. Lewis, Florian Luca, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A
• (with Florian Luca and V. Janitzio Mejía Huguet) On Sierpiński Numbers of the Form φ(N)/2ⁿ, Vol 16

• (with Emre Alkan and Doğa Can Sertbaş) Hyperharmonic Numbers Can Rarely Be Integers, Vol 18

• New Examples of Divisibility Sequences, Vol 16

• (with Michael Sheard) Erdős-Szekeres Results for Set Partitions, Vol 15

• (with Jocelyn Quaintance) Floor and Roof Function Analogs of the Bell Numbers, Vol 7
• (with Jocelyn Quaintance) Bell Numbers and Variant Sequences Derived from a General Functional Differential Equation, Vol 9

• (with Clemens Heuberger and Helmut Prodinger) Counting Optimal Joint Digit Expansions, Vol 5(3)

• On the Growth of a Van Der Waerden-Like Function, Vol 6
• (with Jacob Fox and Ron Graham) On Minimimal Colorings without Monochromatic Solutions to a Linear Equation, Vol 7(2)
• (with Fan Chung) Universal Juggling Cycles, Vol 7(2)
• Some of My Favorite Problems in Ramsey Theory, Vol 7(2)
• A Note on Irregularities of Distribution, Vol 13
• (with Abbas Alhakim and Steve Butler) De Bruijn Sequences with Varying Combs, Vol 14A
• (with Steve Butler and Paul Erdős) Egyptian Fractions with Each Denominator Having Three Distinct Prime Divisors, Vol 15

• The Square of the Fermat Quotient, Vol 4

• (with Antonio M. Oller-Marcén) On k-Lehmer Numbers, Vol 12

• (with Lois Blanc and Eric Duchêne) A Deletion Game on Graphs: Le Pic Arête, Vol 6
• (with Paul Dorbec and Eric Duchêne) Solitaire Clobber Played on Hamming Graphs, Vol 8(1)

• (with Charles Lanning and Hua Wang) Pattern Containment in Circular Permutations, Vol 18B

• (with Robert A. Beeler and Russell T. Harper) Peg Solitaire on Caterpillars, Vol 17

• Extremal Problems About Asymptotic Bases: A Survey, Vol 7(2)
• (with L. Haddad, C. Helou, and J. Pihko) Supremum of Representation Functions, Vol 11

• (with Alexander Bramham) A Combinatorial Proof of a Family of Multinomial-Fibonacci Identities, Vol 14
• An Implicit Zeckendorf Representation, Vol 17

• (k+1)-Sums Versus k-Sums, Vol 12

• (with Andrew P. Dove, Ross J. Kang, and Jean-Sébastien Sereni) Supersaturation in the Boolean Lattice, Vol 14A

• (with Patrick Cégielski and Irène Guessarian) Characterizing Congruence Preserving Functions Z/nZ → Z/mZ Via Rational Polynomials, Vol 16

• (with Michael H. Albert, Richard J. Nowakowski, and David Wolfe) An Introduction to Clobber, Vol 5(2)

• (with C. S. Owens) On Bounds for Two Davenport-type Constants, Vol 13

• On a Conjecture of Hamidoune for Subsequence Sums, Vol 5(2)
• (with Itziar Bardaji) Long Arithmetic Progressions in Small Sumsets, Vol 10

• (with George I. Bell and Daniel S. Hirschberg) The Minimum Size Required of a Solitaire Army, Vol 7

• (with Michael Z. Spivey) Counting Functions and Finite Differences, Vol 7
• Guersenzvaig, Natalio H.
• Simple Arithmetical Criteria for Irreducibility of Polynomials with Integer Coefficients, Vol 13

• (with Patrick Cégielski and Serge Grigorieff) Characterizing Congruence Preserving Functions Z/nZ → Z/mZ Via Rational Polynomials, Vol 16

• (with William D. Banks and C. Wesley Nevans) On the Congruence N ≡ A (mod ϕ(N)), Vol 8(1)

• (with Shaun Cooper, Michael Hirschhorn, and B. Ramakrishnan) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)

• (with Neil Hindman and Hanno Lefmann) Some Partition Theorems for Infinite and Finite Matrices, Vol 14

• (with Feng Qi and Xiao-Ting Shi) Two Explicit Formulas of the Schröder Numbers, Vol 16

• (with Kurusch Ebrahimi-Fard) Multiple Zeta Values and Rota-Baxter Algebras, Vol 8(2)

• (with Hao Pan and Zhi-Wei Sun) Mixed Sums of Squares and Triangular Numbers (II), Vol 7

• On the Least Common Multiple of Q-Binomial Coefficients, Vol 10

• (with B. Sury) Decimal Expansion of 1/p and Subgroup Sums, Vol 5(1)

• (with Anant Godbole, Vince Lyzinski, and Yan Zhuang) Logarithmic Representability of Integers as k-Sums, Vol 15A

• (with H. C. Williams) Some Monoapparitic Fourth Order Linear Divisibility Sequences, Vol 12A
• (with H. C. Williams) Odd and Even Linear Divisibility Sequences of Order 4, Vol 15

• On Interpolating Power Series, Vol 13

• Generalized Lerch Primes, Vol 18

• Large Sets of t-designs and a Ramsey-type Problem, Vol 18

• (with András Sárközy) On Reducible and Primitive Subsets of F_p, I, Vol 15A

• (with Chris Smyth) The Divisibility of aⁿ-bⁿ by Powers of n, Vol 10

H

• (with Alain Plagne) Ensembles B2[2]: L'Etau se Resserre, Vol 2

• (with Shalom Eliahou) On Symmetric and Antisymmetric Balanced Binary Sequences, Vol 5(1)

• (with Mark Budden, Nicole Calkins, Joshua Lambert, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• (with C. Helou) Additive Bases Representations in Groups, Vol 8(2)
• (with G. Grekos, C. Helou, and J. Pihko) Supremum of Representation Functions, Vol 11

• (with Kevin Doerksen) Primitive Prime Divisors in Zero Orbits of Polynomials, Vol 12

• (with S. Eigen) Hereditary Tiling Sets of the Integers, Vol 8(1)

• (with John Cullinan) Primes of Prescribed Congruence Class in Short Intervals, Vol 12

• (with Beáta Bényi) Combinatorial Properties of Poly-Bernoulli Relatives, Vol 17

• (with Norbert Hungerbuhler) An Application of van der Waerden's Theorem in Additive Number Theory, Vol 0

(with Jan-Christoph Schlage-Puchta) Achieving Snaky, Vol 7
• (with Gautami Bhowmik and Jan-Christoph Schlage-Puchta) Inductive Methods and Zero-sum Free Sequences, Vol 9

• (with H. Masubuchi) Recurrence Formulae for Multi-poly-Bernoulli Numbers, Vol 7

• (with Izabella Łaba) Arithmetic Structures in Random Sets, Vol 8(1)
• (with Spencer Backman, Ernie Croot, and Derrick Hart) Sum-Product Inequalities With Perturbation, Vol 11A

• (with C. D. A. Evans) Transfinite Game Values in Infinite Chess, Vol 14
• (with C. D. A. Evans and Norman Lewis Perlmutter) A Position in Infinite Chess With Game Value ω⁴, Vol 17

• (with Joshua Harrington and Lenny Jones) On the Congruence x^x ≡ x (mod n), Vol 16

• (with Jeffrey Shallit) Discriminators and k-Regular Sequences, Vol 16

• (with Peter F. Blanchard and Rogério Reis) Partitions into Sum-free Sets, Vol 6

• (with Paul Ottaway) Edge Deletion Games with Parity Rules, Vol 14

• (with Ghislain McKay) Some Properties of Even Moments of Uniform Random Walks, Vol 16

• (with Robert A. Beeler and Hannah Green) Peg Solitaire on Caterpillars, Vol 17

• (with Lenny Jones) On the Iteration of a Function Related to Euler's φ-Function, Vol 10
• (with Kenneth A. Brown and Scott M. Dunn) Arithmetic Progressions in the Polygonal Numbers, Vol 12
• (with Lenny Jones) Extending a Theorem of Pillai to Quadratic Sequences, Vol 15A
• (with James Hammer and Lenny Jones) On the Congruence x^x ≡ x (mod n), Vol 16

• (with Benjamin Braun, Robert Davis, Jessica Doering, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with Spencer Backman, Ernie Croot, and Mariah Hamel) Sum-Product Inequalities With Perturbation, Vol 11A

• (with Reinhold Kainhofer and Volker Ziegler) On the Corner Avoidance Properties of Various Low-discrepancy Sequences, Vol 5(3)

• (with Christopher O'Neill) On the Periodicity of Irreducible Elements in Arithmetical Congruence Monoids, Vol 17

• Asymptotic Expansions for the Average of the Generalized Omega Function, Vol 18

• (with Philip Henderson) Captured-Reversible Moves and Star Decomposition Domination in Hex, Vol 13

• (with Jinze Zheng) Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials, Vol 17

• Geometric Progression-Free Sequences with Small Gaps II, Vol 16

• (with Kevin James and Hui Xue) Champion Primes For Elliptic Curves, Vol 14

• (with Florin P. Boca and Paul Spiegelhalter) Gap Distribution of Farey Fractions under Some Divisibility Constraints, Vol 13

• (with Urban Larsson) Permutations of the Natural Numbers with Prescribed Difference Multisets, Vol 6
• An Improved Upper Bound on the Maximum Size of k-Primitive Sets, Vol 6
• The Inverse Problem for Representation Functions for General Linear Forms, Vol 8(1)
• A Cauchy-Davenport Type Result for Arbitrary Regular Graphs, Vol 11

• (with François Hennecart) Note on a Result of Chung on Weil Type Sums, Vol 15

• (with Phil Moore, Payam Samidoost, and George Woltman) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with L. Hadda) Additive Bases Representations in Groups, Vol 8(2)
• (with G. Grekos, L. Haddad, and J. Pihko) Supremum of Representation Functions, Vol 11
• Characterization of Representation Functions, Vol 17

• (with Adam Lott and Steven J. Miller) When Almost All Sets Are Difference Dominated in Z/nZ, Vol 17

• (with Ryan B. Hayword) Captured-Reversible Moves and Star Decomposition Domination in Hex, Vol 13

• (with Vincent D. Blondel and Raphaël M. Jungers) Solitaire Clobber as an Optimization Problem on Words, Vol 8(1)

• (with Jörg Endrullis and Jan Willem Klop) Degrees of Streams, Vol 11b

• (with Norbert Hegyvári) Note on a Result of Chung on Weil Type Sums, Vol 15

• (with Florian Luca) A Note on Deaconescu's Result Converning Lehmer's Problem, Vol 8(1)

• (with Toufik Mansour) Counting Rises, Levels, and Drops in Compositions, Vol 5(1)
• (with Toufik Mansour) Enumeration of 3-letter Patterns in Compositions, Vol 7(2)

• (with Peter J. Grabner and Helmut Prodinger) counting Optimal Joint Digit Expansions, Vol 5(3)

• Evaluationally Coprime Linear Polynomials, Vol 16

• (with Pete L. Clark, Katherine Thompson, and Nathan Walters) GoNII: Universal Quaternary Quadratic Forms, Vol 12
• (with Pete L. Clark, Hans Parshall, and Katherine Thompson) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13
• (with Katherine Thompson) GoNIII: More Universal Quaternary Quadratic Forms, Vol 16

• Ehrhart Polynomials of Integral Simplices With Prime Volumes, Vol 14

• (with Anant Godbole and Zoe Koch) Finite Representability of Integers as 2-Sums, Vol 18B

• (with Rigoberto Flórez and Leandro Junes) 9-Modularity and GCD Properties of Generalized Fibonacci Numbers, Vol 14
• (with Rigoberto Flórez and Antara Mukherjee) Characterization of the Strong Divisibility Property for Generalized Fibonacci Polynomials, Vol 18

• (with Amir Maleki and Dona Strauss) Linear Equations in the Stone-Cech Compactification of N, Vol 0
• (with Tomothy J. Carlson and Dona Strauss) Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Cech Compactification, Vol 5(2)
• Partition Regularity of Matrices, Vol 7(2)
• Small Sets Satisfying the Central Sets Theorem, Volume 9 Supplement
• Monochromatic Sums Equal to Products in N, Vol 11A
• (with John H. Johnson) Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra, Vol 12B
• (with David S. Gunderson and Hanno Lefmann) Some Partition Theorems for Infinite and Finite Matrices, Vol 14
• (with Kendra Pleasant) Preserving Integer Images of Matrices, Vol 18B

• (with Jeff Amos, S. T. Chapman, and João Paixão) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• (with Dawn Curtis, Glenn Hurlbert, and Tatiana Moyer) On Pebbling Graphs By Their Blocks, Vol 9

• (with George I. Bell and Pablo Guerrero-García) The Minimum Size Required of a Solitaire Army, Vol 7

• (with Shaun Cooper) A Combinatorial Proof of a Result from Number Theory, Vol 4
• (with James A. Sellers) An Infinite Family of Overpartition Congruences Modulo 12, Vol 5(1)
• (with Shaun Cooper, Sanoli Gun, and B. Ramakrishnan) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)
• (with Øystein J. Rødseth and James A. Sellers) Infinite Families of Divisibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts, Vol 9

• (with William Fraser and David Wolfe) The Structure of Distributive Lattice of Games Born by Day n, Vol 5(2)

• Unchained r-sequences and a Generalized Cassini Formula, Vol 15

• (with Grant Cairns) Min, A Combinatorial Game Having a Connection With Prime Numbers, Vol 10
• (with Aviezri S. Fraenkel) When are Translations of P-positions of Wythoff's Game P-positions?, Vol 15A

• Squares in (1²+m²)...(n²+m²), Vol 9

• (with Bill Correll, Jr.) A Note on 3-free Permutations, Vol 17

• (with Courtney Moen) Sums of Generalized Harmonic Series, Vol 14

• (with D.G. Horrocks) Geography Played on an N-cycle Times a 4-cycle, Vol 3

• Arithmetic on Blocks, Vol 4

• (with Frederik Ravn Klausen and Peter Michael Reichstein Rasmussen) Powers in Prime Bases and a Problem on Central Binomial Coefficients, Vol 15

• (with Takao Komatsu) On the Sum of Reciprocal Generalized Fibonacci Numbers, Vol 11A

• (with Harold Reiter and James Rudzinski) Pilesize Dynamic One-pile Nim and Beatty's Theorem, Vol 4

• (with Tyler J. Evans) Deriving Divisibility Theorems with Burnside's Theorem, Vol 5(1)
• Some General Results and Open Questions on Palintiple Numbers, Vol 14
• Derived Palintiple Families and Their Palinomials, Vol 16
• On Permutiples Having a Fixed Set of Digits, Vol 17

• (with James A. Sellers) Exact Enumeration of Garden of Eden Partitions, Vol 7(2)
• (with Jenny Buontempo) Tableau Cycling and Catalan Numbers, Vol 7
• Column-To-Row Operations on Partitions: The Envelopes, Volume 9 Supplement
• Spotted Tilings and n-Color Compositions, Vol 12B

• (with Jeffrey Stopple) Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms, Vol 10

• Overlap Cycles for Permutations: Necessary and Sufficient Conditions, Vol 14

• (with R. J. Nowakowski) Regularity in the G-Sequences of Octal Games with a Pass, Vol 3
• (with M. S. Hogan) Geography Played on an N-cycle Times a 4-cycle, Vol 3
• (with M. A. Trenton) Subtraction with a Muller Twist, Vol 8(1)
• Playing End-Nim with a Muller Twist, Vol 17

• (with Andries E. Brouwer, Ildiko Molnar-Saska, and Csaba Szabo) On Three-rowed Chomp, Vol 5(1)

• (with W. D. Gao, W. A. Schmid, and R. Thangadurai) On Short Zero-Sum Subsequences II, Vol 7
• (with Toufik Mansour and Simone Severini) Partial Transposes of Permutation Matrices, Vol 8(1)

• (with Xin-Rong Ma) Some Combinatorial Series and Reciprocal Relations Involving Multifold Convolutions, Vol 14

• Implicit Function Theorem for Formal Power Series, Vol 18A

• (with Li Feng and Pingzhi Yuan) On the Diophantine Equation x²-kxy+y²+lx=0, Vol 13

• (with Shishuo Fu) On the Slack Euler Pair for Vector Partition, Vol 18

• (with Brett Stevens) Polynomial Time Graph Families for Arc Kayles, Vol 16
• (with Richard J. Nowakowski) Thinning Thickets, Vol 18

• (with Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, Florian Luca, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A
• (with Marcos J. González and Florian Luca) On Sierpiński Numbers of the Form φ(N)/2ⁿ, Vol 16

• (with Wai Yan Pong) Diophantine Equations of Matching Games I, Vol 11

• Extending Nathanson Heights to Arbitrary Finite Fields, Vol 12
• (with Amanda Montejano) The Structure of Rainbow-free Colorings for Linear Equations on Three Variables in Z_p, Vol 15A
• Inverse Theorems in Z/pZ When a Subset is Contained in a Short Arithmetic Progression, Vol 17

• (with Lorenz Halbeisen) An Application of van der Waerden's Theorem in Additive Number Theory, Vol 0
• (with Ernst Specker) A Generalization of the Smarandache Function to Several Variables, Vol 6

• (with Shawn Elledge) An Application of Graph Pebbling to Zero-Sum Sequences in Abelian Groups, Vol 5(1)
• (with Dawn Curtis, Taylor Hines, and Tatiana Moyer) On Pebbling Graphs By Their Blocks, Vol 9

• (with Marina Skyers) On the Increases of the Sequence _⌊ k√n _⌋, Vol 15

I

• (with Alexia S. Mintos) On Consecutive Integer Pairs with the Same Sum of Distinct Prime Divisors, Vol 5(1)
• On a Variation of Perfect Numbers, Vol 6

• Multi-Poly-Bernoulli-Star Numbers and Finite Multiple Zeta-Star Values, Vol 14

• (with Filippo Disanto and Fabrice Philippe) On the Maximal Weight of (P,Q)-ary Chain Partitions With Bounded Parts, Vol 14

• (with Ryohei Miyadera and Masanori Fukui) Impartial Chocolate Bar Games with a Pass, Vol 16

• (with Katie Johnson and Shaun Sullivan) An Ordered Partition Expansion of the Determinant, Vol 17

• (with Ray Chandler) A Characterization of All Equilateral Triangles in Z³, Vol 8(1)
• (with Rodrigo A. Obando) Cubes in {0,1,...,n}³, Vol 12A
• (with Dorin Andrica) The Signum Equation for Erdős-Surányi Sequences, Vol 15A

• (with Cristian Cobeli and Alexandru Zaharescu) The Relative Size of Consecutive Odd Denominators in Farey Series, Vol 3

• (with I. Laba) K-distance Sets, Falconer Conjecture, and Discrete Analogs, Vol 5(2)
• (with M. Rudnev) Powder Diffraction from a Combinatorial and Analytic Viewpoint, Vol 8(2)
• (with Jeremy Chapman) On Rapid Generation of SL₂(F_q), Vol 9
• Iosevich, Alex
• (with Hannah Morgan and Jonathan Pakianathan) On Directions Determined by Subsets of Vector Spaces Over Finite Fields, Vol 11

• (with Peter C. Shim) On Numbers That Cannot be Expressed as a Plus-Minus Weighted Sum of a Fibonacci Number and a Prime, Vol 14

• (with Pee Choon Toh) On Some Congruences for Andrews' Singular Overpartitions, Vol 18

• (with Taizo Sadahiro) Beta-Expansions With Negative Bases, Vol 9

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• (with Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Mark Schlatter) Some Observations and Solutions to Short and Long Global Nim, Vol 8(1)

• (with Morgan V. Brown, Neil J. Calkin, Adam J. King, Shannon Lockard, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6
• (with Neil Calkin, Nate Drake, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)
• (with Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, and Jobby Jacob) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13
• (with Jason Hedetniemi and Hui Xue) Champion Primes For Elliptic Curves, Vol 14
• (with Jim Brown, Robert Cass, Rodney Keaton, Salvatore Parenti, and Daniel Shankman) Counting Tamely Ramified Extensions of Local Fields up to Isomorphism, Vol 16

• (with Dibyendu De) Image Partition Regularity over the Gaussian Integers, Vol 17

• (with Sujith Vijay) Ramsey Functions for Generalized Progressions, Vol 15

• (with Melkamu Zeleke) On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers, Vol 15A

• (with Jonas Sjöstrand) Pomax Games -- A Family of Integer-valued Partizan Games Played on Posets, Vol 16

• (with Steven Gimbel) Sylvester: Ushering in the Modern Era of Research on Odd Perfect Numbers, Vol 3

• Repeated Binomial Coefficients and High-Degree Curves, Vol 16

• (with DJ Thornton) Weakly Holomorphic Modular Forms in Prime Power Levels of Genus Zero, Vol 18

• (with Jamie Simpson) Composite Covering Systems of Minimum Cardinality, Vol 3

• (with Yong-Gao Chen) Catalan Numbers Modulo a Prime Power, Vol 13

• (with Daniel K. Du) Abel's Lemma and Identities on Harmonic Numbers, Vol 15

• Introduction of Nonstandard Methods for Number Theorists, Vol 8(2)
• Detailed Structure for Freiman's 3k-3 Theorem, Vol 15A
• (with Mauro Di Nasso, Isaac Goldbring, Steven Leth, Martino Lupini, and Karl Mahlburg) Approximate Polynomial Structure in Additively Large Sets, Vol 16

• (with Levi Sledd, Susan Calcote White, and D. Jacob Wildstrom) Variations on Narrow Dots-and-Boxes and Dots-and-Triangles, Vol 17

• (with Neil Hindman) Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra, Vol 12B

• (with Erik Insko and Shaun Sullivan) An Ordered Partition Expansion of the Determinant, Vol 17

• (with D. Patterson) Projective p-Orderings and Homogeneous Integer-Valued Polynomials, Vol 11
• (with Y. Fares) The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers, Vol 12
• (with Youssef Fares) The Valuative Capacities of the Sets of Sums of Two and of Three Squares, Vol 16

• (with William Linz) r-Completeness of Sequences of Positive Integers, Vol 16

• (with Carrie Finch) On the Irreducibility of {-1,0,1}-Quadrinomials, Vol 6
• (with Joshua Harrington ) On the Iteration of a Function Related to Euler's φ-Function, Vol 10
• Fibonacci Variations of a Conjecture of Polignac, Vol 12
• (with Daniel White) Sierpiński Numbers in Imaginary Quadratic Fields, Vol 12A
• (with Joshua Harrington) Extending a Theorem of Pillai to Quadratic Sequences, Vol 15A
• (with Alicia Lamarche) Generating d-Composite Sandwich Numbers, Vol 15A
• (with Kellie Bresz, Alicia Lamarche, and Maria Markovich) A Problem Related to a Conjecture of Polignac, Vol 16
• (with James Hammer and Joshua Harrington) On the Congruence x^x ≡ x (mod n), Vol 16
• (with Tristan Phillips) Arithmetic Progressions of Polygonal Numbers With Common Difference a Polygonal Number, Vol 17
• (with Lawrence Somer) Primes in Shifted Sums of Lucas Sequences, Vol 17

• (with Kimmo Eriksson and Jonas Sjöstrand) An Exponential Limit Shape of Random q-proportion Bulgarian Solitaire, Vol 18

• (with Philippe Nadeau) Long Fully Commutative Elements in Affine Coxeter Groups, Vol 15

• Mathematics of Ghaly's Machine, Vol 6
• (with Charles Celerier, Caroline Melles, David Phillips, and Steven Walsh) Edge-weighted Cayley Graphs and p-ary Bent Functions, Vol 16

• (with Rigoberto Flórez) A Relation Between Triangular Numbers and Prime Numbers, Vol 11
• (with Rigoberto Flórez and Robinson A. Higuita) 9-Modularity and GCD Properties of Generalized Fibonacci Numbers, Vol 14

• (with Vincent D. Blondel and Julien M. Hendrickx) Solitaire Clobber as an Optimization Problem on Words, Vol 8(1)

• (with Radoš Radoičić) Rainbow 3-term Arithmetic Progressions, Vol 3
• (with Jaroslav Nesetril and Radoš Radoičić) Rainbow Ramsey Theory, Vol 5(2)
• (with Jacob Fox and Radoš Radoičić) Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples, Vol 7(2)
• (with Hayri Ardal, Tom Brown, and Julian Sahasrabudhe) On Abelian and Additive Complexity in Infinite Words, Vol 12
• (with Tom Brown and Andrew Poelstra) On Double 3-Term Arithmetic Progressions, Vol 14

• (with Maghann Moriah Gibson and Hua Wang) Note on Restricted Parts in Cyclic Compositions, Vol 18

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• (with Allysa Lumley) Short Effective Intervals Containing Primes, Vol 14

• A Brownian Quasi-helix in R⁴, Built From an Automatic Sequence, Vol 18A

• (with Bilal Khan and Kiran R. Bhutani) A Graphic Generalization of Arithmetic, Vol 7

• (with Jurgen Hartinger and Volker Ziegler) On the Corner Avoidance Properties of Various Low-discrepancy Sequences, Vol 5(3)

• (with Karma Dajani) Transformations Generating Negative β-Expansions, Vol 11b

• On 3-Adic Valuations of Generalized Harmonic Numbers, Vol 11
• (with Yasuo Ohno and Shuji Yamamoto) Weighted Lonesum Matrices and Their Generating Function, Vol 13

• (with P. Singthongla and V. Laohakosol) Reducibility of Polynomials Over Algebraic Number Fields, Vol 17

• New Bounds on the Number of Representations of t as a Binomial Coefficient, Vol 4
• On the Number of Ways of Writing t as a Product of Factorials, Vol 5(1)
• Improved Bounds on the Number of Ways of Expressing t as a Binomial Coefficient, Vol 7
• On Solving Games Constructed Using Both Short and Long Conjunctive Sums, Vol 10

• On Normal Numbers and Powers of Algebraic Numbers, Vol 10
• (with Thomas Stoll) On Subwords in the Base-q Expansion of Polynomial and Exponential Functions, Vol 18A

• (with Hiren Maharaj) Distance Graphs From p-Adic Norms, Vol 10

• (with Andrew P. Dove, Jerrold R. Griggs, and Jean-Sébastien Sereni) Supersaturation in the Boolean Lattice, Vol 14A

• (with S. K. Pattanayak) Normality, Projective Normality and EGZ Theorem, Vol 11

• (with Richard M. Low) Further Analysis on the "King and Rook vs. King on a Quarter-infinite Board" Problem, Vol 7

• Sumbers -- Sums of Ups and Downs, Vol 5(1)

• (with Dan Levy) GCD of Truncated Rows in Pascal's Triangle, Vol 4

• Flat Cyclotomic Polynomials of Order Four and Higher, Vol 10

• (with Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, and Subhamoy Maitra) Counting Heron triangles with Constraints, Vol 13

• On Generalized Fibonacci and Lucas Numbers of the Form wkx² ± 1, Vol 16

• (with Tzvetalin S. Vassilev) On Certain Sums Involving the Legendre Symbol, Vol 16

• Balanced Subset Sums in Dense Sets of Integers, Vol 9

• A Multitude of Expressions for the Stirling Numbers of the First Kind, Vol 10

• (with André Alexander Campbell and Anant Godbole) Contributions to the Theory of de Bruijn Cycle, Vol 14A

• Convergence in Möbius Number Systems, Vol 9

• Understanding Ergodicity, Vol 11b

• (with Jim Brown, Robert Cass, Kevin James, Salvatore Parenti, and Daniel Shankman) Counting Tamely Ramified Extensions of Local Fields up to Isomorphism, Vol 16

• (with James A. Sellers and Robert G. Vary) Some Arithmetic Properties of Overpartition k-Tuples, Vol 9

• Sequences of Density ζ(k) - 1, Vol 10
• Recursively Self-Conjugate Partitions, Vol 11A
• (with Robert P. Boyer) Stabilization of Coefficients for Partition Polynomials, Vol 13
• Congruences for m-regular Partitions Modulo 4, Vol 15A
• Major Index Over Descent for Pattern-avoiding Permutations, Vol 18

• On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials, Vol 9
• Identities Between Polynomials Related to Stirling and Harmonic Numbers, Vol 14

• (with Donatella Merlini and Bruce Richmond) Maximum Stirling Numbers of the Second Kind, Vol 8(1)

• Fourier Coefficients of a Class of Eta Quotients, Vol 16

• (with Ali Boussayoud and Abdelhamid Abderrezzak) Some Applications of Symmetric Functions, Vol 15

• (with Shalom Eliahou) Restricted Sumsets in Finite Vector Spaces: The Case p=3, Vol 1

• (with Şaban Alaca) Representations by Certain Octonary Quadratic Forms With Coefficients 1, 2, 3, and 6, Vol 15

• (with Kiran R. Bhutani and Delaram Kahrobaei) A Graphic Generalization of Arithmetic, Vol 7

• (with Dennis Eichhorn, Alan H. Stein, and Christian L. Yankov) Sums and Differences of the Coordinates of Points on Modular Hyperbolas, Volume 9 Supplement
• Modular Hyperbolas and the Coefficients of (x^-1+6+x)^k, Vol 11A
• Khan, Mizan R.
  • (with Richard Magner, Steven Senger, and Arne Winterhof) Two Combinatorial Geometric Problems involving Modular Hyperbolas, Vol 14

• (with Bruce Landman) Recent Progress in Ramsey Theory on the Integers, Vol 7(2)

• On the Relationship Between the Number of Solutions of Congruence Systems and the Resultant of Two Polynomials, Vol 16
• Efficient Computation of Terms of Linear Recurrence Sequences of Any Order, Vol 18
• A Method for Obtaining Fibonacci Identities, Vol 18

• (with P.K. Saikia) A Congruence for the Fermat Quotient Modulo p³, Vol 16

• (with Dustin Moody) High rank Elliptic Curves with Torsion Z/4Z Induced by Kihara's Elliptic Curves, Vol 16

• (with Matthias Beck) An Extreme Family of Generalized Frobenius Numbers, Vol 11

• (with Mohamed Ayad) The Number of Relatively Prime Subsets of {1, 2, ..., n}, Vol 9
• (with Mohamed Ayad) On Relatively Prime Sets, Vol 9

• (with Elif Tan) Binomial Sums for the General Second Order Linear Recurrence, Vol 10
• Some Weighted Sums of Products of Lucas Sequences, Vol 13
• (with Talha Arıkan) Ruehr's Identities with Two Additional Parameters, Vol 16

• (with Yoomi Rho) Van der Waerden's Theorem on Homothetic Copies of {1,1+ s, 1+s+t}, Vol 12

• The Overpartition Function Modulo 128, Vol 8(1)

• Codes Associated With O⁺(2n,2^r) and Power Moments of Kloosterman Sums, Vol 11
• An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments: O(2n+1, 2^r) Case, Vol 13

• Integer Addition and Hamming Weight, Vol 16

• Beatty Sequences and Trigonometric Functions, Vol 16
• (with Peter J. C. Moses) Nested Interval Sequences of Positive Real Numbers, Vol 17

• (with Morgan V. Brown, Neil J. Calkin, Kevin James, Shannon Lockard, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• (with Peter Kirschenhofer) A Number Theoretic Problem on the Distribution of Polynomials With Bounded Roots, Vol 15

• (with Michael H. Mertens) On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves, Vol 13

• On Multi-avoidance of Right Angled Numbered Polyomino Patterns, Vol 4
• (with Tyrrell B. McAllister and T. Kyle Petersen) Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations, Vol 6
• (with Toufik Mansour and Patrice Séébold) Counting Ordered Patterns in Words Generated by Morphisms, Vol 8(1)
• (with Jeffrey Remmel) Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns, Vol 10
• (with Jeffrey Remmel and Mark Tiefenbruck) Quadrant Marked Mesh Patterns in 132-Avoiding Permutations II, Vol 15
• (with Jeffrey Remmel and Mark Tiefenbruck) Quadrant Marked Mesh Patterns in 132-avoiding Permutations III, Vol 15
• (with Alice L.L. Gao and Philip B. Zhang) On Pattern Avoiding Indecomposable Permutations, Vol 18

• Statistical Distribution of Roots of a Polynomial Modulo Primes, Vol 17

• (with Sebastian Tim Holdum and Peter Michael Reichstein Rasmussen) Powers in Prime Bases and a Problem on Central Binomial Coefficients, Vol 15

• Generalized Davenport-Schinzel Sequences: Results, Problems, and Applications, Vol 2

• (with Jörg Endrullis and Dimitri Hendriks) Degrees of Streams, Vol 11b

• (with Edita Pelantová) Factor Complexity of Infinite Words Associated With Non-Simple Parry Numbers, Vol 9
• (with L'ubomíra Balková and Edita Pelantová) Critical Exponent of Infinite Words Coding Beta-Integers Associated with Non-Simple Parry Numbers, Vol 11b

• (with Jonathan Bayless) On the Sum of Reciprocals of Amicable Numbers, Vol 11A
• (with Jonathan Bayless and Tomás Oliveira e Silva) New Bounds and Computations on Prime-Indexed Primes, Vol 13

• (with Michael D. Paul) On Weakly Complete Sequences Formed by the Greedy Algorithm, Vol 12

• (with M. E. Mays) Graph Compositions I: Basic Enumeration, Vol 1

• (with Anant Godbole and Zach Higgins) Finite Representability of Integers as 2-Sums, Vol 18B

• (with Chun-Yen Shen) Additive Energy and the Falconer Distance Problem in Finite Fields, Vol 13

• Representation of Numbers by Sums of Squares and the Forms of Type x₁²+ x₁x₂+x₂², Vol 17

• A Connection Between Ordinary Partitions and Tilings with Dominoes and Squares, Vol 7
• (with Yuriy Choliy and Andrew V. Sills) Partition Recurrences, Vol 18B

• A Proof of the Continued Fraction Expansion of e^2/s, Vol 7
• Some Combinatorial Properties of the Leaping Convergents, Vol 7(2)
• (with Chris K. Caldwell) Powers of Sierpiński Numbers Base B, Vol 10
• (with Sarah H. Holliday) On the Sum of Reciprocal Generalized Fibonacci Numbers, Vol 11 A
• (with Florian Luca and Yohei Tachiya) On the Multiplicative Order of F_n+1/F_n Modulo F_m, Vol 12B
• (with László Szalay) q-multiparameter-Bernoulli Polynomials and q-multiparameter-Cauchy Polynomials by Jackson's Integrals, Vol 16

• On Universal Binary Hermitian Forms, Vol 9
• (with Sherry) On Congruence Conditions for Primality, Vol 10

• (with Paola Loreti) Universal Expansions in Negative and Complex Bases, Vol 10
• Komornik, Vilmos
• Expansions in Noninteger Bases, Vol 11b

• (with Aviezri Fraenkel) The Sierpiński Sieve of Nim-varieties and Binomial Coefficients, Vol 7(2)

• (with Vsevelod F. Lev) On the Distribution of Exponential Sums, Vol 0

• On the Product of Log-Concave Polynomials, Vol 6

• (with Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Brandon E. Dutra, and Michèle Vergne) Coefficients of Sylvester's Denumerant, Vol 15

• Selmer's Multiplicative Algorithm, Vol 11

• (with Zhenguang Gao) Triangular Numbers in the Jacobsthal Family, Vol 12

• Computing the Van der Waerden Number W(3,4)=293, Vol 12

• (with Narad Rampersad) Cyclic Complexity of Some Infinite Words and Generalizations, Vol 18A

• (with Adriana Salerno) Origami Constructions of Rings of Integers of Imaginary Quadratic Fields, Vol 17

• A New Upper Bound on the Star Discrepancy of (0,1)-sequences, Vol 5(3)

• (with Lawrence Somer) Nondefective Integers With Respect to Certain Lucas Sequences of the Second Kind, Vol 18

• On Congruence Properties of Consecutive Values of p(n,m), Vol 7
• A Result on Ramanujan-Like Congruence Properties of the Restricted Partition Function p(n,m) Across Both Variables, Vol 12
• (with Jonathan Rehmert) A Generalization of Congruence Properties for a Restricted Partition Function, Vol 18

• Note on Odd/Odd Vertex Removal Games on Bipartite Graphs, Vol 14

• (with Zhangyuan Li) A Congruence Property of Irreducible Laguerre Polynomials in Two Variables, Vol 16

• (with Helmut Prodinger and Carsten Schneider) Generalized Reciprocity Laws for Sums of Harmonic Numbers, Vol 8(1)
• (with Helmut Prodinger) A Note on Stirling Series, Vol 10

• Decomposition of Pascal's Kernels Mod ps, Vol 2

• (with Lalitphat Sukruan) The Generalized Tribonacci Numbers with Negative Subscripts, Vol 14

• (with Pallab Kanti Dey) An Analogue of Artin's Primitive Root Conjecture, Vol 16

• (with Sanjit Singh Batra and Amitabha Tripathi) On a Linear Diophantine Problem Involving the Fibonacci and Lucas Sequences, Vol 15

• On Sums of Primes from Beatty Seqeuences, Vol 8(1)

• (with Jeffrey C. Lagarias and Carl Pomerance) On Sets of Integers Which Are Both Sum-Free and Product-Free, Vol 12B

• (with Ayhan Dil) Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I, Vol 12

• (with Ritumoni Sarma) On Finite Semi-regular Continued Fractions, Vol 16

• (with Jocelyn Quaintance) A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables, Vol 13

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• (with A. Iosevich) K-distance Sets, Falconer Conjecture, and Discrete Analogs, Vol 5(2)
• (with Mariah Hamel) Arithmetic Structures in Random Sets, Vol 8(1)

• (with Pär Kurlberg and Carl Pomerance) On Sets of Integers Which Are Both Sum-Free and Product-Free, Vol 12B

• The Number of Representations by Sums of Squares and Triangular Numbers, Vol 7
• (with Shaun Cooper and Dongxi Ye) Representations of Squares by Certain Septenary Quadratic Forms, Vol 13

• (with Lenny Jones) Generating d-Composite Sandwich Numbers, Vol 15A
• (with Kellie Bresz, Lenny Jones, and Maria Markovich) A Problem Related to a Conjecture of Polignac, Vol 16

• (with Mark Budden, Nicole Calkins, William Nathan Hack, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• Accurate Asymptotic Estimates of Catalan's Sequence, Vol 17

• (with James A. Sellers) Properties of a Restricted Binary Partition Function a la Andrews and Lewis, Vol 15

• (with Clay Culver and Aaron Robertson) Some New Exact van der Waerden Numbers, Vol 5(2)
• (with Abdollah Khodkar) Recent Progress in Ramsey Theory on the Integers, Vol 7(2)

• (with Scott M. Garrabrant and Eric J. Friedman) Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim, Vol 13

• (with Daniel Schaal) Disjunctive Rado Numbers for ax₁+x₂=x₃ and bx₁+x₂=x₃, Vol 13

• Les Endomorphismes de Q₊^* pour l'Addition des Cancres, Vol 18

• (with Daniel Gray and Hua Wang) Pattern Containment in Circular Permutations, Vol 18B

• (with Jittinart Rattanamoong and Tuangrat Chaichana) Generalized Folding Lemmas in the Field of Formal Series and Their Applications, Vol 15
• (with P. Singthongla and N. R. Kanasri) Reducibility of Polynomials Over Algebraic Number Fields, Vol 17

• (with Hunter Lehmann, Andrew Park, and Leanne Robertson) Coprime Mappings on n-sets, Vol 17

• (with Peter Hegarty) Permutations of the Natural Numbers with Prescribed Difference Multisets, Vol 6
• 2-Pile Nim with a Restricted Number of Move-size Imitations, Vol 9
• A Generalized Diagonal Wythoff Nim, Vol 12
• (with Johan Wästlund) Maharaja Nim: Wythoff's Queen meets the Knight, Vol 14

• (with Holly Swisher) A Combinatorial Proof of a Recursive Formula for Multipartitions, Vol 11

• (with Neil Calkin, Nate Drake, Kevin James, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Matt Walsh) A Characterization of Lattice-ordered Graphs, Vol 7(2)

• (with A. Zaharescu) Square-Full Divisors of Square-Full Integers, Vol 10
• (with D. A. Goldston) On the Differences Between Consecutive Prime Numbers, I, Vol 12B
• (with Paul Spiegelhalter and Alexandru Zaharescu) Eigenvalues and Arithmetic Functions on PSL₂(Z), Vol 14
• (with Alexandru Zaharescu) A Divisibility Obstruction for Certain Walks on Gaussian Integers, Vol 14

• Infinitely Often Dense Bases for the Integers with a Prescribed Representation Function, Vol 10
• Algebraic Proof for the Geometric Structure of Sumsets, Vol 11A

• (with Neil Calkin, Nate Drake, Kevin James, Shirley Law, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Heng Huat Chan) Congruences Associated with the Modular j-Invariant, Vol 17

• (with Sylvie Corteel and Carla D. Savage) Five Guidelines for Partition Analysis with Applications to Lecture Hall-type Theorems, Vol 7(2)

• (with David S. Gunderson and Neil Hindman) Some Partition Theorems for Infinite and Finite Matrices, Vol 14

• (with Bayley Larsen, Andrew Park, and Leanne Robertson) Coprime Mappings on n-sets, Vol 17

• (with José A. Adell) Closed Form Expressions for the Stirling Numbers of the First Kind, Vol 17

• On the Order of Lacunary Sums of Binomial Coefficients, Vol 3
• (with Gregory Tollisen) A Congruential Identity and the 2-adic Order of Lacunary Sums of Binomial Coefficients, Vol 4
• An Invariant Sum Related to Record Statistics, Vol 7
• On Divisibility of Some Power Sums, Vol 7
• Alternative Proofs on the 2-Adic Order of Stirling Numbers of the Second Kind, Vol 10
• On Divisibility Properties of Some Differences of the Central Binomial Coefficients and Catalan Numbers, Vol 13
• On the Least Significant 2-Adic and Ternary Digits of Certain Stirling Numbers, Vol 13
• On the Least Significant p-adic Digits of Certain Lucas Numbers, Vol 14
• (with Diego Marques) The 2-adic Order of Some Generalized Fibonacci Numbers, Vol 17
• Arithmetic Properties of Lacunary Sums of Binomial Coefficients, Vol 18

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Gwenäel Richomme) A Combinatorial Proof of S-adicity for Sequences with Linear Complexity, Vol 13
• (with Michel Rigo and Manon Stipulanti) Counting Subword Occurrences in Base-b Expansions, Vol 18A

• (with Aaron Robertson) On Monochromatic Ascending Waves, Vol 7(2)

• (with Mauro Di Nasso, Isaac Goldbring, Renling Jin, Martino Lupini, and Karl Mahlburg) Approximate Polynomial Structure in Additively Large Sets, Vol 16

• (with Sergei V. Konyagin) On the Distribution of Exponential Sums, Vol 0
• Distribution of Points on Arcs, Vol 5(2)
• More on Points and Arcs, Vol 7(2)
• (with Andraás Sárközy) An Erdős-Fuchs Type Theorem for Finite Groups, Vol 11A
• (with Yong-Gao Chen) Integer Sets with Identical Representation Functions, Vol 16

• (with Gil Kaplan) GCD of Truncated Rows in Pascal's Triangle, Vol 4

• (with Victor Scharaschkin) k-Lehmer and k-Carmichael Numbers, Vol 16

• (with Kevin A. Broughan, Marcos J. González, Florian Luca, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A

• (with Marcia Edson and Omer Yayenie) The k-Periodic Fibonacci Sequence and an Extended Binet's Formula, Vol 11

• Midy's Theorem for Periodic Decimals, Vol 7

• (with Wen An Liu, Haifeng Li, and Yingbin Ma) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• (with Wen An Liu, Yingbin Ma, and Bei Li) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• (with Young-Ming Chen and Eng-Tjioe Tan) Counting Determinants of Fibonacci-Hessenberg Matrices Using LU Factorizations, Vol 9

• (with Ping Ngai Chung) On the Residue Classes of π(n) Modulo t, Vol 13

• Notes on Primes p≡ 1 (mod d) and a^p-1/d≡ 1 (mod p), Vol 15

• (with Hengcai Tang) On a Theorem of Prachar Involving Prime Powers, Vol 11

• An Explicit Formula for Hecke L-functions, Vol 8(2)
• On the Euler Product of Some Zeta Functions, Volume 9 Supplement

• (with Wei Wang, Xiang-Gen Xia, Wenjie Wang, and Jianguo Qian) Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers, Vol 17

• (with Thomas W. Cusick and Pantelimon Stănică) On a Combinatorial Conjecture, Vol 11

• (with Nikolai A. Krylov) A Congruence Property of Irreducible Laguerre Polynomials in Two Variables, Vol 16

• (with Min Tang) A Remark on a Paper of Luca and Walsh, Vol 11

• (with Vladimír Baláž and Oto Strauch) Distribution Functions of the Sequence φ(M)/M, M ∈ (K,K+N] As K, N Go to Infinity, Vol 10

• (with David Einstein, Adam Strzebonski, and Stan Wagon) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• (with Anant Godbole, Vince Lyzinski, and Nicholas George Triantafillou) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13

• Partial Nim, Vol 5(1)

• Odd Catalan Numbers Modulo 2^k, Vol 11

• A Note on the q-Binomial Rational Root Theorem, Vol 9

• (with Edna Jones) r-Completeness of Sequences of Positive Integers, Vol 16

• On the Property P_-1, Vol 7
• On the Diophantine Equation x² + 3^m = yⁿ, Vol 8(1)
• On the Conditioned Binomial Coefficients, Vol 11

• A Multivariate Arithmetic Function of Combinatorial and Topological Significance, Vol 10

• (with Vladimir Shevelev) On Factorization of Integers with Restrictions on the Exponents, Vol 7

• (with Shu-Juan Duan and Tai-Man Tang) A Planar Integral Self-Affine Tile with Cantor Set Intersections With Its Neighbors, Vol 9

• (with Haiqing Wang) An Explicit Formula for Higher Order Bernoulli Polynomials of the Second Kind, Vol 13

• (with Haifeng Li, Yingbin Ma, and Bei Li) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• Some Theta Functions Identities Associated with the Modular Equations of Degree 5, Vol 1

• (with Melvyn B. Nathanson) On a Partition Problem of Canfield and Wilf, Vol 12A

• (with Morgan V. Brown, Neil J. Calkin, Kevin James, Adam J. King, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6
• (with Timothy B. Flowers) Identifying an m-ary Partition Identity Through an m-ary Tree, Vol 16

• (with Carla D. Savage) Generalizing the Combinatorics of Binomial Coefficients Via l-Nomials, Vol 10

• (with Doron Zeilberger) On The Limiting Distributions of the Total Height On Families of Trees, Vol 18

• (with Peter Stoll) The 3x+1 Conjugacy Map Over a Sturmian Word, Vol 9
• López, Josefina
• (with Peter Stoll) The 2-Adic, Binary and Decimal Periods of 1/3^k Approach Full Complexity for Increasing k, Vol 12

• (with Florian Luca) On Totient Abundant Numbers, Vol 8(1)

• (with Vilmos Komornik) Universal Expansions in Negative and Complex Bases, Vol 10

• (with Anand Hemmady and Steven J. Miller) When Almost All Sets Are Difference Dominated in Z/nZ, Vol 17
• (with Alyssa Epstein, Steven J. Miller, and Eyvindur A. Palsson) Optimal Point Sets Determining Few Distinct Triangles, Vol 18

• (with Mark Daniel Ward) Asymptotic Analysis of Sums of Powers of Multinomial Coefficients: A Saddle Point Approach, Vol 17

• (with Robert Osburn) Quadratic Forms and Four Partition Functions Modulo 3, Vol 11

• The General gcd-Product Function, Vol 6
• Corrigendum to Article A19, Volumer 6 (The General gcd-Product Function), Vol 6
• A Congruence for Products of Binomial Coefficients Modulo a Composite, Vol 7

• (with Mark Stamp) King and Rook Vs. King on a Quarter-Infinite Board, Vol 6
• (with Siddhartha Kanungo) Further Analysis on the "King and Rook vs. King on a Quarter-infinite Board" Problem, Vol 7
• (with W. H. Chan) An Atlas of N- and P-positions in `Nim With a Pass', Vol 15

• (with Lin Ma) Congruences for Hyper m-ary Overpartition Functions, Vol 10

• (with Jean-Marie De Koninck) On Strings of Consecutive Economical Numbers of Arbitrary Length, Vol 5(2)
• (with John B. Friedlander and Mihai Stoiciu) On the Irrationality of a Divisor Function Series, Vol 7
• (with Carl Pomerance) Irreducible Radical Extensions and Euler-function Chains, Vol 7(2)
• (with Paul Loomis) On Totient Abundant Numbers, Vol 8(1)
• (with Santos Hernández Hernández) A Note on Deaconescu's Result Converning Lehmer's Problem, Vol 8(1)
• (with Florin Nicolae) φ(F_n)=F_m, Vol 9
• (with László Szalay) Lucas Diophantine Triples, Vol 9
• (with Carl Pomerance) On the Range of the Iterated Euler Function, Volume 9 Supplement
• (with Kevin A. Broughan and Igor E. Shparlinski) Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem, Vol 10
• (with R. Balasubramanian) On the Number of Factorizations of an Integer, Vol 11
• (with Herman te Riele) Aliquot Cycles of Repdigits, Vol 11
• (with William D. Banks) Power Totients With Almost Primes, Vol 11A
• (with Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A
• (with Kevin Ford) The Number of Solutions of λ(x)=n, Vol 11A
• (with Paul Thomas Young) Coincidences of Catalan and q-Catalan Numbers, Vol 11A
• (with Saúl Díaz Alvarado and Andrej Dujella) On a Conjecture Regarding Balancing With Powers of Fibonac ci Numbers, Vol 12A
• (with Takao Komatsu and Yohei Tachiya) On the Multiplicative Order of F_n+1/F_n Modulo F_m, Vol 12B
• (with Roger Oyono) The Diophantine Equation F_n^y + F_n+1^x = F_m^x, Vol 13
• (with Mohamed Taoufiq Damir, Bernadette Faye, and Amadou Tall) Fibonacci Numbers with Prime Sums of Complementary Divisors , Vol 14
• (with Marcos J. González and V. Janitzio Mejía Huguet) On Sierpiński Numbers of the Form φ(N)/2ⁿ, Vol 16

• (with Habiba Kadiri) Short Effective Intervals Containing Primes, Vol 14

• (with Alain Togbé and Pingzhi Yuan) On Some Equations Related to Ma's Conjecture, Vol 11

• (with Amanda Bower, Ron Evans, and Steven J Miller) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13
• (with Oliva Beckwith, Steven J. Miller, Karen Shen, and Nicholas Triantafillou) Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, Vol 15

• (with Arie Bialostocki) An Analogue of the Erdős-Ginzburg-Ziv Theorem for Quadratic Symmetric Polynomials, Vol 9

• (with Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, and Karl Mahlburg) Approximate Polynomial Structure in Additively Large Sets, Vol 16

• (with Alex Rice) A Quantitative Result on Diophantine Approximation for Intersective Polynomials, Vol 15A

• (with Anant Godbole, Chang Mou Lim, and Nicholas George Triantafillou) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13
• (with Anant Godbole, Samuel Gutekunst, and Yan Zhuang) Logarithmic Representability of Integers as k-Sums, Vol 15A

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• (with Qing-Lin Lu) Congruences for Hyper M-ary Overpartitioin Functions, Vol 10

• (with Leetsch C. Hsu) Some Combinatorial Series and Reciprocal Relations Involving Multifold Convolutions, Vol 14

• (with Wen An Liu, Haifeng Li, and Bei Li) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• (with Miloud Mihoubi) The (r₁,...,r_p)-Stirling Numbers of the Second Kind, Vol 12
• (with Miloud Mihoubi) The (r₁,...,r_p)-Bell Polynomials, Vol 14

• (with Jonathan Sondow) Reducing the Erdős-Moser Equation 1ⁿ + 2ⁿ + ... + kⁿ = (k+1)ⁿ Modulo k and k², Vol 11

• 2184: An Absurd (and Adsurd) Tale, Vol 18

• (with Mizan R. Khan, Steven Senger, and Arne Winterhof) Two Combinatorial Geometric Problems involving Modular Hyperbolas, Vol 14

• (with Jeong-Hyun Kang) Distance Graphs From p-Adic Norms, Vol 10

• (with Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, and Martino Lupini) Approximate Polynomial Structure in Additively Large Sets, Vol 16

• (with Jonathan Borwein and Matthew Skerritt) Computation of an Improved Lower Bound to Giuga's Primality Conjecture, Vol 13

• (with Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• (with Neil Hindman and Dona Strauss) Linear Equations in the Stone-Cech Compactification of N, Vol 0

• Generalizations on a Problem of Saffari, Vol 15

• (with Rebecca J. Stones) Congruences for Weighted Number of Labeled Forests, Vol 16

• (with Maria Axenovich) On Monchromatic Subsets of a Rectangular Grid, Vol 8(1)
• (with Jeremy F. Alm) A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid, Vol 12

• (with Jacob Mayle and Nathaniel Zbacnik) The Asymptotic Distribution of a Hybrid Arithmetic Function, Vol 15
• (with David Burt, Eli Goldstein, Steven J. Miller, Eyvindur Ari Palsson, and Hong Suh) Crescent Configurations, Vol 16

• (with Eric S. Egge) Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers, Vol 5(1)
• (with Silvia Heubach) Counting Rises, Levels, and Drops in Compositions, Vol 5(1)
• (with Silvia Heubach) Enumeration of 3-letter Patterns in Compositions, Vol 7(2)
• (with Sergey Kitaev and Patrice Séébold) Counting Ordered Patterns in Words Generated by Morphisms, Vol 8(1)
• (with Qing-Hu Hou and Simone Severini) Partial Transposes of Permutation Matrices, Vol 8(1)
• (with Mark Shattuck) A Recurrence Related to the Bell Numbers, Vol 11
• (with Mark Shattuck) Avoiding Type (1,2) or (2,1) Patterns in a Partition of a Set, Vol 12

• Filters and Subgroups Associated with Hartman Measurable Functions, Vol 5(3)

• (with J.L. Ramírex Alfonsín and M.P. Revuelta) On the Frobenius Number of Fibonacci Numerical Semigroups, Vol 7
• (with S. Eliahou and M.P. Revuelta) Zero-sum Balanced Binary Sequences, Vol 7(2)

• (with Kellie Bresz, Lenny Jones, and Alicia Lamarche) A Problem Related to a Conjecture of Polignac, Vol 16

• The Straight Line Complexity of Small Factorials and Primorials, Vol 15

• (with Tanbir Ahmed, Michael G. Eldredge, and Hunter S. Snevily) Strict Schur Numbers, Vol 13

• On Elementary Lower Bounds for the Partition Function, Vol 3

• (with Tamás Lengyel) The 2-adic Order of Some Generalized Fibonacci Numbers, Vol 17

• (with William D. Banks) Optimal Primitive Sets with Restricted Primes, Vol 13
• (with Alexis Peilloux and Erick B. Wong) Lower Bounds for Sumsets of Multisets in F_p², Vol 13

• Generalizations of Midy's Theorem on Repeating Decimals, Vol 7

• (with András Csernenszky and András Pluhár) On the Complexity of Chooser-Picker Positional Games, Vol 11

• (with Zhicheng Gao, Daniel Panario, and Bruce Richmond) The r^th Smallest Part Size of a Random Integer Partition, Vol 14A

• (with Peter Peter Baláži and Edita Pelantová) Complete Characterization of Substitution Invariant Sturmian Sequences, Vol 5(1)
• (with Pierre Arnoux, Valérie Berthé, and Edita Pelantová) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)
• (with Peter Peter Baláži and Edita Pelantová) Characterization of Substitution Invariant Words Coding Exchange of Three Intervals, Vol 8(1)

• (with Y. Hamahata) Recurrence Formulae for Multi-poly-Bernoulli Numbers, Vol 7

• (with C. Bachoc and I. Z. Ruzsa) Squares and Difference Sets in Finite Fields, Vol 13

• Computational Rediscovery of Ramanujan's Tau Numbers, Vol 18A

• Mixed Sums of Triangular Numbers and Certain Binary Quadratic Forms, Vol 15

• On the Number of Solutions of a Diophantine Equation Over a Finite Field, Vol 16

• On a Special Congruence of Carlitz, Vol 6

• On the Integers Nonrepresentable by a Generalized Arithmetic Progression, Vol 5(2)
• (with Rhett S. Robinson) A Variant of the Frobenius Problem and Generalized Suzuki Semigroups, Vol 7(2)
• Frobenius Numbers of Generalized Fibonacci Semigroups, Volume 9 Supplement

• A Note on Boolean Lattices and Farey Sequences, Vol 7
• A Note on Boolean Lattices and Farey Sequences II, Vol 8(1)

• (with Josep M. Brunat) Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles, Vol 11

• (with Sarah Manski and Nathaniel Zbacnik) The Asymptotic Distribution of a Hybrid Arithmetic Function, Vol 15

• (with A. Knopfmacher) Graph Compositions I: Basic Enumeration, Vol 1
• (with Todd Tichenor) Graph Compositions: Deleting Edges from Complete Graphs, Vol 15

• (with Sukumar Das Adhikari) Modifications of Some Methods in the Study of Zero-Sum Constants, Vol 14
• (with Sukumar Das Adhikari and B. K. Moriya) Relation Between Two Weighted Zero-sum Constants, Vol 16

• On Mod p Logarithms log_a b and lob_b a, Vol 6

• On a Cubic Moment for Sums of Hecke Eigenvalues, Vol 16

• (with Sergey Kitaev and T. Kyle Petersen) Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permut ations, Vol 6

• (with Rigoberto Flórez and Antara Mukherjee) Identities for the Generalized Fibonacci Polynomial, Vol 18B

• Binomial Coefficient-Harmonic Sum Identities Associated to Supercongruences, Vol 11

• (with Richard Nowakowski) Cutthroat, an All-Small Game on Graphs, Vol 5(2)

• (with Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16

• (with ) A Combinatorial Proof on Partition Function Parity, Vol 14

• Carmichael Numbers with (p+1) | (n-1), Vol 14

• (with Kevin G. Har) Some Properties of Even Moments of Uniform Random Walks, Vol 16

• (with Richard J. Nowakowski) Outcomes of Partizan Euclid, Vol 12B

• (with Yara Elias) On Generalized Addition Chains, Vol 14

• Combinatorial Identities Deriving from the nth Power of a 2 x 2 Matrix, Vol 4
• (with B. Sury) Powers of a Matrix and Combinatorial Identities, Vol 5(1)
• (with B. Sury) Some Observations on Khovanskii's Matrix Methods for Extracting Roots of Polynomials, Vol 7
• (with Andrew V. Sills) Combinatorics of Ramanujan-Slater Type Identities, Volume 9 Supplement
• Refinements of Some Partition Inequalities, Vol 16

• (with Sandy Ganzell and John Ross) Twist Untangle and Related Knot Games, Vol 14

• (with Akalu Tefera, Michael Weselcouch, and Aklilu Zeleke) Proofs of Ruehr's Identities, Vol 14

• (with Sirawich Chinwarakorn) Lerch's Theorems Over Function Fields, Vol 10

• The Sum of Digits of Polynomial Values, Vol 15

• Analogues of Two Classical Theorems on the Representations of a Number, Vol 8(1)
• Analogues of Jacobi's Two-Square Theorem: An Informal Account, Vol 10
• On Product Difference Fibonacci Identities, Vol 11
• On Finite Sums of Good and Shar that Involve Reciprocals of Fibonacci Numbers, Vol 12
• Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers, Vol 13
• More on Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers, Vol 14
• Finite Reciprocal Sums in Which the Denominator of the Summand Contains Squares of Generalized Fibonacci Numbers, Vol 16
• Finite Reciprocal Sums of Products Involving Squares of Sines or Cosines With Arguments in Arithmetic Progression, Vol 17

• (with Charles Celerier, David Joyner, David Phillips, and Steven Walsh) Edge-weighted Cayley Graphs and p-ary Bent Functions, Vol 16

• Newman Polynomials, Reducibility, and Roots on the Unit Circle, Vol 12
• Newman Polynomials Not Vanishing on the Unit Circle, Vol 12
• Dirichlet's Theorem and Jacobsthal's Function, Vol 18

• (with Renzo Sprugnoli) A Riordan Array Proof of a Curious Identity, Vol 2
• (with Francesca Uncini and M. Cecilia Verri) A Unified Approach to the Study of General and Palindromic Compositions, Vol 4
• (with Renzo Sprugnoli and M. Cecilia Verri) The Akiyama-Tanigawa Transformation, Vol 5(1)
• (with Graeme Kemkes and Bruce Richmond) Maximum Stirling Numbers of the Second Kind, Vol 8(1)

• (with Markus Kirschmer) On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves, Vol 13

• (with Paul Ottaway) Simplification of Partizan Games in Misère Play, Vol 7

• (with John Selfridge) The 392 Problem, Vol 12A

• (with Steven Chaplick, Torsten Ueckerdt, and Veit Wiechert) A Note on Concurrent Graph Sharing Games, Vol 16

• (with Hacène Belbachir) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part I, Vol 11
• (with Hacène Belbachir) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part II, Vol 11
• (with Mohammed Said Maamra) The (r₁,...,r_p)-Stirling Numbers of the Second Kind, Vol 12
• (with Hacène Belbachir) Generalization of Universal Partition and Bipartition Theorems, Vol 13
• (with Mohammed Said Maamra) The (r₁,...,r_p)-Bell Polynomials, Vol 14

• An Identity for Sums of Polylogarithm Functions, Vol 8(1)
• (with Luc Robinson and Sean Pegado) Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets, Vol 12
• (with Amanda Bower, Ron Evans, and Victor Luo) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13
• (with Julio C. Andrade, Kyle Pratt, and Minh-Tam Trinh) Special Sets of Primes in Function Fields, Vol 14
• (with Oliva Beckwith, Victor Luo, Karen Shen, and Nicholas Triantafillou) Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, Vol 15
• (with Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16
• (with David Burt, Eli Goldstein, Sarah Manski, Eyvindur Ari Palsson, and Hong Suh) Crescent Configurations, Vol 16
• (with Anand Hemmady and Adam Lott) When Almost All Sets Are Difference Dominated in Z/nZ, Vol 17
• (with Alyssa Epstein, Adam Lott, and Eyvindur A. Palsson) Optimal Point Sets Determining Few Distinct Triangles, Vol 18

• (with Richard J. Nowakowski and Paul Ottaway) The Misère Monoid of One-Handed Alternating Games, Vol 12B
• Partizan Kayles and Misère Invertibility, Vol 15

• (with Patrick Mitchell) Unavoidable Sets of a Certain Size in a Finite Set, Vol 5(2)
• Some Observations on Subset Sum Representations, Vol 6

• (with C. Augspurger, K. Shoukry, P. Sissokho, and K. Voss) Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers, Vol 17

• (with Douglas E. Iannucci) On Consecutive Integer Pairs with the Same Sum of Distinct Prime Divisors, Vol 5(1)

• (with Ram Krishna Pandey) Derivative of an Ideal in a Number Ring, Vol 14
• (with Ram Krishna Pandey) The Direct and Inverse Theorems on Integer Subsequence Sums Revisited, Vol 16

• (with Donald Mills) Unavoidable Sets of a Certain Size in a Finite Set, Vol 5(2)

• (with Shunsuke Nakamura) Impartial Chocolate Bar Games, Vol 15
• (with Maakito Inoue and Masanori Fukui) Impartial Chocolate Bar Games with a Pass, Vol 16

• (with James A. Sellers and Holly Swisher) A Periodic Approach to Plane Partition Congruences, Vol 16

• (with Michael E. Hoffman) Sums of Generalized Harmonic Series, Vol 14

• (with Gill Barequet, Ares Ribó, and Günter Rote) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with H. Tajbakhsh) Lucas Numbers and Determinants, Vol 11

• (with Shalosh B. Ekhad) A WZ Proof of a "Curious" Identity, Vol 3

• (with Xinyu Sun) A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral, Vol 10
• (with T. Amdeberhan and D. Callan) Valuations and Combinatorics of Truncated Exponential Sums, Vol 13

• (with Andries E. Brouwer, Gabor Horvath, and Csaba Szabo) On Three-rowed Chomp, Vol 5(1)

• (with Sho Suda) Conference Matrices With Maximum Excess and Two-intersection Sets, Vol 17

• (with Lynnelle Ye) Congruences of Concave Composition Functions, Vol 13

• (with Imre Z. Ruzsa) Carries and the Arithmetic Progression Structure of Sets, Vol 17

• (with Tomas Boothby and Matt DeVos) New Proof of Kemperman's Theorem, Vol 15
• (with Mario Huicochea) The Structure of Rainbow-free Colorings for Linear Equations on Three Variables in Z_p, Vol 15A

• (with Foad Khoshnam) High rank Elliptic Curves with Torsion Z/4Z Induced by Kihara's Elliptic Curves, Vol 16

• (with Louis Helm, Payam Samidoost, and George Woltman) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with Craig V. Spencer) A Generalization of Schauz and Brink's Restricted-Variable Version of Chevalley's Theorem, Vol 17

• (with Gennady Bachman) On a Class of Ternary Inclusion-Exclusion Polynomials, Vol 11
• Artin's Primitive Root Conjecture -- A Survey --, Vol 12A
• Integers Without Large Prime Factors: from Ramanujan to de Bruijn, Vol 14A

• (with Alex Iosevich and Jonathan Pakianathan) On Directions Determined by Subsets of Vector Spaces Over Finite Fields, Vol 11

• (with Lukas Spiegelhofer) A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function, Vol 12

• (with Valentin Ovsienko) Extremal Set Theory, Cubic Forms on F₂ⁿ and Hurwitz Square Identities, Vol 16

• On Weighted Zero Sum Subsequences of Short Length, Vol 14
• (with Sukumar Das Adhikari and Eshita Mazumdar) Relation Between Two Weighted Zero-sum Constants, Vol 16

• On the Least Positive Solution to a Proportionally Modular Diophantine Inequality, Vol 16

• (with Vladimir Shevelev) On a Sequence of Polynomials with Hypothetically Integer Coefficients, Vol 13
• (with Vladimir Shevelev) Tangent Power Sums and Their Applications, Vol 14
• (with Vladimir Shevelev) Alice and Bob Go to Dinner: A Variation on ménage, Vol 16
• (with Clark Kimberling) Nested Interval Sequences of Positive Real Numbers, Vol 17

• (with Dawn Curtis, Taylor Hines, and Glenn Hurlbert) On Pebbling Graphs B y Their Blocks, Vol 9

• (with Rigoberto Flórez and Robinson A. Higuita) Characterization of the Strong Divisibility Property for Generalized Fibonacci Polynomials, Vol 18
• (with Rigoberto Flórez and Nathan McAnally) Identities for the Generalized Fibonacci Polynomial, Vol 18B

• A Negative Answer to Two Questions about the Smallest Prime Numbers Having Given Digital Sums, Vol 5(1)

• Computation of q-Partial Fractions, Vol 7
• Combinatorics of Integer Partitions in Arithmetic Progression, Vol 10
• Euler-type Identities for Integer Compositions Via Zig-Zag Graphs, Vol 12
• (with Abdulaziz M. Alanazi and James A. Sellers) An Infinite Family of Congruences for ℓ-regular Overpartitions, Vol 16
• (with Abdulaziz M. Alanazi) On Partition Configurations of Andrews-Deutsch, Vol 17

• (with Norma Zagaglia Salvi) Circular Binary Strings without ZigZags, Vol 3
• Generalization of a Binomial Identity of Simons, Vol 5(1)
• Combinatorial Properties of the Antichains of a Garland, Vol 9

• A Note on Diophantine Fractals for α--Lüroth systems, Vol 11b

• (with Marco Abrate, Stefano Barbero, and Umberto Cerruti) Polynomial Sequences on Quadratic Curves, Vol 15

• The Size of the Largest Part of Random Plane Partitions of Large Integers, Vol 6

• (with Joseph Parrish) Some Nonlinear Rado Numbers, Vol 18B

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• (with Frédéric Jouhet) Long Fully Commutative Elements in Affine Coxeter Groups, Vol 15

• (with D. S. Gireesh) Congruences for 3-Regular Partitions With Designated Summands, Vol 16

• (with Ryohei Miyadera) Impartial Chocolate Bar Games, Vol 15

• (with Taizo Sadahiro) A β-Expansion Associated to Sturmian Sequences, Vol 12

• An Upper Bound for the Representative Number of Graphs with Fixed Order, Vol 3
• (with Jim Urick) Representations of Split Graphs, Their Complements, Stars, and Hypercubes, Vol 7

• The Average Largest Prime Factor, Vol 13

• Further Multivariate Generalizations of Euler's Pentagonal Number Theorem and the Rogers-Ramanujan Identities, Vol 16

• Symmetry in Maximal (s-1,s+1) Cores, Vol 16

• Affine Invariants, Relatively Prime Sets, and a phi Function for Subsets of {1, 2, ..., n}, Vol 7
• Linear Quantum Addition Rules, Vol 7(2)
• (with Brooke Orosz) Asymptotic Estimates for Phi Functions for Subsets of {m+1,m+2,...,n}, Vol 7
• (with Blair D. Sullivan) Heights in Finite Projective Space, and a Problem on Directed Graphs, Vol 8(1)
• Tennenbaum at Penn and Rochester, Vol 8(2)
• Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number Theory, Vol 11A
• (with iŽeljka Ljujić) On a Partition Problem of Canfield and Wilf, Vol 12A
• (with Kevin O'Bryant) On Sequences without Geometric Progressions, Vol 13
• (with Kevin O'Bryant) Irrational Numbers Associated to Sequences Without Geometric Progressions, Vol 14
• Commutative Algebra and the Linear Diophantine Problem of Frobenius, Vol 18B

• Universal Sets and the Vector Game, Vol 8(1)

• (with Veselin Jungić and Radoš Radoičić) Rainbow Ramsey Theory, Vol 5(2)
• (with O. Serra) Semigroups with the Erdős-Turán Property, Vol 7(2)

• (with Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, and Sandra Vinagre) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• (with William D. Banks and Ahmet M. Güloğlu) On the Congruence N ≡ A (mod ϕ(N)), Vol 8(1)

• (with George E. Andrews) Binary Representations and Theta Function, Vol 18

• Generalized Binomial Expansions and Bernoulli Polynomials, Vol 13
• A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions, Vol 15
• A New Proof of the Prouhet-Tarry-Escott Problem, Vol 16
• (with Patrick F. Bray) The Area of the Mandelbrot Set and Zagier's Conjecture, Vol 18

• On Two-point Configurations in a Random Set, Vol 9

• (with Anitha Srinivasan) An Improved Upper Bound for Ramanujan Primes, Vol 15

• (with Florian Luca) φ(F_n)=F_m, Vol 9

• (with Geoffrey Caveney and Jonathan Sondow) Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis, Vol 11

• (with Shaun Sullivan) Counting Depth Zero Patterns in Ballot Paths, Vol 11
• Inverses of Motzkin and Schröder Paths, Vol 12

• An Upper Bound for Odd Perfect Numbers, Vol 3

• Isosceles Triangles in Q³, Vol 18

• (with Benjamin Braun, Robert Davis, Jessica Doering, Ashley Harrison, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with D. G. Horrocks) Regularity in the G-Sequences of Octal Games with a Pass, Vol 3
• (with M. H. Albert) Nim Restrictions, Vol 4
• (with Michael H. Albert, J. P. Grossman, and David Wolfe) An Introduction to Clobber, Vol 5(2)
• (with Sarah K. McCurdy) Cutthroat, an All-Small Game on Graphs, Vol 5(2)
• (with Paul Ottaway) Vertex Deletion Games with Parity Rules, Vol 5(2)
• (with A. A. Siegel) Partizan Geography on K_n x K₂, Vol 7(2)
• (with Rebecca Milley and Paul Ottaway) The Misère Monoid of One-Handed Alternating Games, Vol 12B
• (with Neil A. McKay) Outcomes of Partizan Euclid, Vol 12B
• (with Melissa Huggan) Thinning Thickets, Vol 18

• Evaluation of Convolution Sums involving the Sum of Divisors Function for Levels 48 and 64, Vol 17

• Pattern Occurrence in the Dyadic Expansion of Square Root of Two and an Analysis of Pseudorandom Number Generators, Vol 10

• (with A. Smati) Distribution Laws of Pairs of Divisors, Vol 13

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• (with Eugen J. Ionascu) Cubes in {0,1,...,n}³, Vol 12A

• Fraenkel's Partition and Brown's Decomposition, Vol 3
• Gaps in the Spectrum of Nathanson Heights of Projective Points, Vol 7
• On Z.-W. Sun's Disjoint Congruence Classes Conjecture, Vol 7(2)
• Thick Subsets that Do Not Contain Arithmetic Progressions, Vol 13
• (with Melvyn B. Nathanson) On Sequences without Geometric Progressions, Vol 13
• (with Melvyn B. Nathanson) Irrational Numbers Associated to Sequences Without Geometric Progressions, Vol 14

• Continued Fractions and Linear Fractional Transformations, Vol 15

• (with Ken Kamano and Shuji Yamamoto) Weighted Lonesum Matrices and Their Generating Function, Vol 13

• (with Tewodros Amdeberhan, David Callan, and Roberto Tauraso) Revitalized Automatic Proofs: Demonstrations, Vol 17

• (with Nayandeep Deka Baruah) Partitions With Designated Summands in Which All Parts Are Odd, Vol 15

• (with Tom Edgar and James Van Alstine) Approximating the Fibonacci Sequence, Vol 16

• (with Jonathan Bayless and Dominic Klyve) New Bounds and Computations on Prime-Indexed Primes, Vol 13

• The Dying Rabbit Problem Revisited, Vol 9
• (with José María Grau) On k-Lehmer Numbers, Vol 12

• Variants of Bulgarian Solitaire, Vol 16

• (with Jacob Hartzer) On the Periodicity of Irreducible Elements in Arithmetical Congruence Monoids, Vol 17

• (with Vadim Ponomarenko) The Frobenius Number of Geometric Sequences, Vol 8(1)

• A Mock Theta Function for the Delta-Function, Volume 9 Supplement

• (with Melvyn B. Nathanson) Asymptotic Estimates for Phi Functions for Subsets of {m+1,m+2,...,n}, Vol7

• (with Jeremy Lovejoy) Quadratic Forms and Four Partition Functions Modulo 3, Vol 11

• (with Jorge Bruno) Relaxed Complete Partitions: An Error-correcting Bachet's Problem, Vol 18

• Asymptotics for the Partial Fractions of the Restricted Partition Generating Function II, Vol 16

• (with Richard J. Nowakowski) Vertex Deletion Games with Parity Rules, Vol 5(2)
• (with G. A. Mesdal) Simplification of Partizan Games in Misère Play, Vol 7
• (with Rebecca Milley and Richard J. Nowakowski) The Misère Monoid of One-Handed Alternating Games, Vol 12B
• (with Peter Harding) Edge Deletion Games with Parity Rules, Vol 14

• (with Sophie Morier-Genoud) Extremal Set Theory, Cubic Forms on F₂ⁿ and Hurwitz Square Identities, Vol 16

• (with H. G. Grundman) On Bounds for Two Davenport-type Constants, Vol 13

• (with Florian Luca) The Diophantine Equation F_n^y + F_n+1^x = F_m^x, Vol 13

• (with Hua Wang and Demet Yalman) Note on Leech-type Questions of Trees, Vol 16

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• (with O. Ramaré) Tail Of A Moebius Sum With Coprimality Conditions, Vol 18

• Ramsey Type Results on the Solvability of Certain Equation in Z_m, Vol 13

• (with Jeff Amos, S. T. Chapman, and Natalie Hine) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• (with Alex Iosevich and Hannah Morgan) On Directions Determined by S ubsets of Vector Spaces Over Finite Fields, Vol 11

• A Remark on the Chebotarev Theorem About Roots of Unity, Vol 7

• (with David Garth and Ha Ta) Self Generating Sets and Numeration Systems, Volume 9 Supplement

• (with David Burt, Eli Goldstein, Sarah Manski, Steven J. Miller, and Hong Suh) Crescent Configurations, Vol 16
• (with Alyssa Epstein, Adam Lott, and Steven J. Miller) Optimal Point Sets Determining Few Distinct Triangles, Vol 18

• (with Ping Xu) Note on a Congruence Involving Products of Binomial Coefficients, Vol 7
• (with Song Guo and Zhi-Wei Sun) Mixed Sums of Squares and Triangular Numbers (II), Vol 7

• (with Yingpu Deng) The Sum of Binomial Coefficients and Integer Factorization, Vol 16

• (with Murat Sahin and Qiang Wang) A Family of Fibonacci-Like Conditional Sequences, Vol 13
• (with Zhicheng Gao, Conrado Martinez, and Bruce Richmond) The r^th Smallest Part Size of a Random Integer Partition, Vol 14A

• On Eisenstein Primes, Vol 18

• On Freiman's 3k-4 Theorem, Vol 18

• (with Amitabha Tripathi) On the Density of Integral Sets with Missing Differences, Volume 9 Supplement
• (with Raj Kumar Mistri) Derivative of an Ideal in a Number Ring, Vol 14
• (with Raj Kumar Mistri) The Direct and Inverse Theorems on Integer Subsequence Sums Revisited, Vol 16
• (with Sai Teja Somu) On Unavoidable Obstructions in Gaussian Walks, Vol 16
• (with Anshika Srivastava and Om Prakash) On the Maximal Density of Integral Sets Whose Differences Avoiding the Weighted Fibonacci Numbers, Vol 17

• (with Helmut Prodinger) Kirkman's Hypothesis Revisited, Vol 1
• (with Helmut Prodinger) A Generating Functions Proof of a Curious Identity, Vol 2
• (with Helmut Prodinger) A Short Proof of a Series Evaluation in Terms of Harmonic Numbers, Vol 9

• (with Jim Brown, Robert Cass, Kevin James, Rodney Keaton, and Daniel Shankman) Counting Tamely Ramified Extensions of Local Fields up to Isomorphism, Vol 16

• (with Bayley Larsen, Hunter Lehmann, and Leanne Robertson) Coprime Mappings on n-sets, Vol 17

• (with Kellen Myers) Some Nonlinear Rado Numbers, Vol 18B

• (with Pete L. Clark, Jacob Hicks, and Katherine Thompson) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13

• An Observation on the Extension of Abel's Lemma, Vol 10

• (with Swapan Kumar Ghosh) Concerning Partition Regular Matrices, Vol 17

• (with S. S. Kannan) Normality, Projective Normality and EGZ Theorem, Vol 11

• (with K. Johnson) Projective p-Orderings and Homogeneous Integer-Valued Polynomials, Vol 11

• (with Michael P. Knapp) On Weakly Complete Sequences Formed by the Greedy Algorithm, Vol 12

• (with M. N. Chintamani and R. Thangadurai) On Short Zero-sum Sequences Over Abelian p-groups, Vol 17

• (with Carsten Schneider) Truncating Binomial Series with Symbolic Summation, Vol 7

• (with Steven J. Miller and Luc Robinson) Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets, Vol 12

• (with Kenneth S. Williams) (k,l)-Universality of Ternary Quadratic Forms ax²+by²+cz², Vol 18

• (with Greg Martin and Erick B. Wong) Lower Bounds for Sumsets of Multisets in F_p², Vol 13

• (with Yann Bugeaud) Explicit Examples of p-adic Numbers With Prescribed Irrationality Exponent, Vol 18A

• (with Peter Baláži, Zuzana Masáková) Complete Characterization of Substitution Invariant Sturmian Sequences, Vol 5(1)
• (with Pierre Arnoux, Valérie Berthé, and Zuzana Masáková) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)
• (with Peter Baláži, Zuzana Masáková) Characterization of Substitution Invariant Words Coding Exchange of Three Intervals, Vol 8(1)
• (with Karel Klouda) Factor Complexity of Infinite Words Associated With Non-Simple Parry Numbers, Vol 9
• (with L'ubomíra Balková and Karel Klouda) Critical Exponent of Infinite Words Coding Beta-Integers Associated with Non-Simple Parry Numbers, Vol 11B

• (with Weidong Gao) On the Number of Zero-Sum Subsequences of Restricted Size, Vol 9
• (with Yushuang Fan, Weidong Gao, Linlin Wang, and Qinghai Zhong) Remarks on Tiny Zero-Sum Sequences, Vol 13

• (with Matthew Wells) On Sets with More Restricted Sums than Differences, Vol 13

• (with Neil Calkin, Nate Drake, Kevin James, Shirley Law, Philip Lee, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Carla D. Savage) Lecture Hall Partitions and the Wreath Products C_k ≀ S_n, Vol 12B

• (with C. D. A. Evans and Joel David Hamkins) A Position in Infinite Chess With Game Value ω⁴, Vol 17

• (with Sergey Kitaev and Tyrrell B. McAllister ) Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permut ations, Vol 6
• (with Bridget Eileen Tenner) How to Write a Permutation as a Product of Involutions (and Why You Might Care), Vol 13

• (with Guy Barat and Christiane Frougny) A Note on Linear Recurrent Mahler Numbers, Vol 5(3)
• On the Boundary of the Set of the Closure of Contractive Polynomials, Vol 9

• On the Distribution of Distances between the Points of Affine Curves over Finite Fields, Vol 5(1)

• (with Andrej Dujella) Square Roots with Many Good Approximants, Vol 5(3)

• (with Filippo Disanto and Laurent Imbert) On the Maximal Weight of (P,Q)-ary Chain Partitions With Bounded Parts, Vol 14

• (with Charles Celerier, David Joyner, Caroline Melles, and Steven Walsh) Edge-weighted Cayley Graphs and p-ary Bent Functions, Vol 16

• (with Lenny Jones) Arithmetic Progressions of Polygonal Numbers With Common Difference a Polygonal Number, Vol 17

• (with Chris Pinner and Wasin Vipismakul) The Lind-Lehmer Constant for Z_m x Zⁿ, Vol 16

• (with G. Grekos, L. Haddad, and C. Helou) Supremum of Representation Functions, Vol 11

• Breaking Symmetry on Complete Bipartite Graphs of Odd Size, Vol 3
• (with Tomasz Schoen) Integer Sets Having the Maximum Number of Distinct Differences, Vol 7

• (with Tatiana Hessami Pilehrood and Roberto Tauraso) Multiple Harmonic Sums and Multiple Harmonic Star Sums are (Nearly) Never Integers, Vol 17

• (with Khodabakhsh Hessami Pilehrood and Roberto Tauraso) Multiple Harmonic Sums and Multiple Harmonic Star Sums are (Nearly) Never Integers, Vol 17

• (with Josef Dick) The Figure of Merit of 2-dimensional Rank 2 Lattice Rules, Vol 5(3)

• (with Charles Delorme) Continuants and Some Decompositions Into Squares, Vol 15

• (with Todd Cochrane) Sum-product Estimates Applied to Waring's Problem Mod p, Vol 8(1)
• (with Vincent Pigno and Wasin Vipismakul) The Lind-Lehmer Constant for Z_m x Zⁿ, Vol 16
• (with Stian Clem) The Lind-Lehmer Constant for 3-groups, Vol 18

• An Inverse of the Faà di Bruno Formula, Vol 7

• Some Weighted Sums of Powers of Fibonacci Polynomials, Vol 13
• Generalized Eulerian Polynomials and Some Applications, Vol 18

• (with Laurent Habsieger) Ensembles B2[2]: L'Etau se Resserre, Vol 2

• Taming the Wild in Impartial Combinatorial Games, Vol 5(1)

• (with Patrick Solé) The Robin Inequality for 7-Free Integers, Vol 11

• (with Artūras Dubickas) Periodicity of Some Recurrence Sequences Modulo m, Vol 8(1)

• (with Neil Hindman) Preserving Integer Images of Matrices, Vol 18B

• A New Constraint on Perfect Cuboids, Vol 17

• (with András Csernenszky and Ryan R. Martin) On the Complexity of Chooser-Picker Positional Games, Vol 11

• (with Tom Brown and Veselin Jungić) On Double 3-Term Arithmetic Progressions, Vol 14

• Boole's Formula as a Consequence of Lagrange's Interpolating Polynomial Theorem, Vol 8(1)

• A Short Proof of a Result of Gica and Luca, Vol 13

• Values of the Euler and Carmichael Functions Which Are Sums of Three Squares, Vol 11
• Perfect Numbers With Identical Digits, Vol 11A
• (with Carl Pomerance) Prime-Perfect Numbers, Vol 12A
• Palindromic Sums of Proper Divisors, Vol 15A
• (with Enrique Treviño) Finding the Four Squares in Lagrange's Theorem, Vol 18A

• Dynamical Zeta Functions, Vol 11b
• Rates of Convergence for Linear Actions of Cocompact Lattices on the Complex Plane, Vol 11B

• (with E. Rodney Canfield) On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind, Vol 2
• (with E. Rodney Canfield) Corrigendum to Article A1, Volume 2 (2002) (On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind), Vol 5(1)
• (with Florian Luca) Irreducible Radical Extensions and Euler-function Chains, Vol 7(2)
• (with Florian Luca) On the Range of the Iterated Euler Function, Volume 9 Supplement
• (with Igor E. Shparlinski) On Pseudosquares and Pseudopowers, Volume 9 Supplement
• Remarks on the Pólya-Vinogradov Inequality, Vol 11A
• (with Paul Pollack) Prime-Perfect Numbers, Vol 12A
• (with Pär Kurlberg and Jeffrey C. Lagarias) On Sets of Integers Which Are Both Sum-Free and Product-Free, Vol 12B
• (with Igor E. Shparlinski) Connected Components of the Graph Generated by Power Maps in Prime Finite Fields, Vol 18A

• (with Chun Yin Hui) Diophantine Equations of Matching Games I, Vol 11

• A Remark on Relatively Prime Sets, Vol 13

• Minimal Zero Sequences of Finite Cyclic Groups, Vol 4
• (with Darren C. Ong) The Frobenius Number of Geometric Sequences, Vol 8(1)

• Two Trees Enumerating the Positive Rationals, Vol 18A

• (with Jean-Marc Deshouillers) Large Zero-Free Subsets of Z/pZ, Vol 11A

• (with Anshika Srivastava and Ram Krishna Pandey) On the Maximal Density of Integral Sets Whose Differences Avoiding the Weighted Fibonacci Numbers, Vol 17

• (with Julio C. Andrade, Steven J. Miller, and Minh-Tam Trinh) Special Sets of Primes in Function Fields, Vol 14

• (with Ian Anderson) Obtaining All or Half of U_n as ⟨ x ⟩ x ⟨ x+1 ⟩, Vol 12

• (with Jordan Emme) On the Asymptotic Behavior of Density of Sets Defined by Sum-of-digits Function in Base 2, Vol 17

• (with Reza Akhtar and Anthony B. Evans) Representation Numbers of Stars, Vol 10

• On Binary Representations of Integers with Digits -1, 0, 1, Vol 0
• (with Alois Panholzer) Kirkman's Hypothesis Revisited, Vol 1
• (with Alois Panholzer) A Generating Functions Proof of a Curious Identity, Vol 2
• Two q-identities from the Theory of Fountains and Histograms Proved with a Tri-Diagonal Determinant, Vol 5(1)
• (with Peter J. Grabner and Clemens Heuberger) Counting Optimal Joint Digit Expansions, Vol 5(3)
• Human Proofs of Identities by Osburn and Schneider, Vol 8(1)
• (with Markus Kuba and and Carsten Schneider) Generalized Reciprocity Laws for Sums of Harmonic Numbers, Vol 8(1)
• (with Alois Panholzer) A Short Proof of a Series Evaluation in Terms of Harmonic Numbers, Vol 9
• (with Markus Kuba) A Note on Stirling Series, Vol 10
• The Intrinsic Periodic Behaviour of Sequences Related to a Rational Integral, Vol 11
• (with Horst Alzer) On Combinatorial Identities of Engbers and Stocker, Vol 17

• Partitions Which are p- and q-Core, Vol 1

• Enumeration Schemes for Words Avoiding Patterns With Repeated Letters, Vol 8(1)

• (with Amitabha Tripathi) On Changes in the Frobenius and Sylvester Numbers, Vol 18B

• (with R. W. R. Darling) Maximum GCD Among Pairs of Random Integers, Vol 11

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• (with Xiao-Ting Shi and Bai-Ni Guo) Two Explicit Formulas of the Schröder Numbers, Vol 16

• (with Wei Wang, Xiaoping Li, Xiang-Gen Xia, and Wenjie Wang) Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers, Vol 17

• (with H. W. Gould) Floor and Roof Function Analogs of the Bell Numbers, Vol 7
• (with H. W. Gould) Bell Numbers and Variant Sequences Derived from a General Functional Differential Equation, Vol 9
• (with Harris Kwong) A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables, Vol 13

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• (with Neil Calkin, Nate Drake, Kevin James, Shirley Law, Philip Lee, and David Penniston) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Veselin Jungić) Rainbow 3-term Arithmetic Progressions, Vol 3
• (with Jacob Fox) On the Degree of Regularity of Generalized van der Waerden Triples, Vol 5(1)
• (with Veselin Jungić and Jaroslav Nesetril) Rainbow Ramsey Theory, Vol 5(2)
• (with Jacob Fox and Veselin Jungić) Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples, Vol 7(2)

• A Note on the Minimal Number of Representations in A+A, Vol 12

• Lower Bounds on the Weak Schur Numbers Up to 9 Colors, Vol 17

• K-Fixed-Points-Permutations, Vol 7

• (with Shaun Cooper, Sanoli Gun, and Michael Hirschhorn) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)

• (with Akhilesh P.) Tail Of A Moebius Sum With Coprimality Conditions, Vol 18

• Maximal Continuants and Periodicity, Vol 6

• (with J.M. Marín and M.P. Revuelta) On the Frobenius Number of Fibonacci Numerical Semigroups, Vol 7

• (with Émilie Charlier, Michel Rigo, and Laurent Waxweiler) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b
• (with F. Blanchet-Sadri, James D. Currie, and Nathan Fox) Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1, Vol 14
• (with Colin Krawchuk) Cyclic Complexity of Some Infinite Words and Generalizations, Vol 18A

• (with Jean-Pierre Flori) On the Number of Carries Occurring in an Addition Mod 2^k-1, Vol 12

• Fine-Wilf Graphs and the Generalized Fine-Wilf Theorem, Vol 13

• (withSebastian Tim Holdum and Frederik Ravn Klausen ) Powers in Prime Bases and a Problem on Central Binomial Coefficients, Vol 15

• (with Sukumar Das Adhikari) Davenport Constant with Weights and Some Related Questions, Vol 6

• (with Vichian Laohakosol and Tuangrat Chaichana) Generalized Folding Lemmas in the Field of Formal Series and Their Applications, Vol 15

• (with Rupam Barman) New Congruences for Overpartitions Into Odd Parts, Vol 18

• Some Congruences for Balancing and Lucas-Balancing Numbers and Their Applications, Vol 14

• A Proof of Catalan's Convolution Formula, Vol 12
• (with Andrei Asinowski) Triangulations with Few Ears: Symmetry Classes and Disjointness, Vol 16

• (with Brandt Kronholm) A Generalization of Congruence Properties for a Restricted Partition Function, Vol 18

• (with Blair K. Spearman and Qiduan Yang) On Congruent Numbers With Three Prime Factors, Vol 11

• (with Peter F. Blanchard and Frank Harary) Partitions into Sum-free Sets, Vol 6

• (with Arthur Holshouser and James Rudzinski) Pilesize Dynamic One-pile Nim and Beatty's Theorem, Vol 4

• (with Sergey Kitaev) Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns, Vol 10
• (with Sergey Kitaev and Mark Tiefenbruck) Quadrant Marked Mesh Patterns in 132-Avoiding Permutations II, Vol 15
• (with Sergey Kitaev and Mark Tiefenbruck) Quadrant Marked Mesh Patterns in 132-Avoiding Permutations III, Vol 15

• Binary Dicots, a Core of Dicot Games, Vol 15

• Christoffel Words and Markoff Triples, Vol 9

• (with J.M. Marín and J.L. Ramírex Alfonsín) On the Frobenius Number of Fibonacci Numerical Semigroups, Vol 7
• (with S. Eliahou and J.M. Marín) Zero-sum Balanced Binary Sequences, Vol 7(2)

• (with Byeong Moon Kim) Van der Waerden's Theorem on Homothetic Copies of {1,1+s, 1+s+t}, Vol 12

• (with Morgan V. Brown, Neil J. Calkin, Kevin James, Adam J. King, and Shannon Lockard) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• Explicit Solutions of Certain Systems of Pell Equations, Vol 12A

• (with Gill Barequet, Micha Moffie, and Günter Rote) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with Neil Lyall) A Quantitative Result on Diophantine Approximation for Intersective Polynomials, Vol 15A

• Primitive Prime Divisors in Polynomial Arithmetic Dynamics, Vol 7

• Generalized Cauchy Determinants, Vol 8(1)

• (with Graeme Kemkes and Donatella Merlini) Maximum Stirling Numbers of the Second Kind, Vol 8(1)
• (with Zhicheng Gao, Conrado Martinez, and Daniel Panario) The r^th Smallest Part Size of a Random Integer Partition, Vol 14A

• (with Julien Leroy) A Combinatorial Proof of S-adicity for Sequences with Linear Complexity, Vol 13

• (with Émilie Charlier and Wolfgang Steiner) Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant, Vol 8(1)
• (with Émilie Charlier, Narad Rampersad, and Laurent Waxweiler) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b
• (with Julien Leroy and Manon Stipulanti) Counting Subword Occurrences in Base-b Expansions, Vol 18A

• (with Luca Ferrari) Enumeration of Generalized Hook Partitions, Vol 5(1)

• Integer Sequences and k-commuting Permutations, Vol 15

• On Partitions and Cyclotomic Polynomials, Vol 0

• (with Clay Culver and Bruce Landman) Some New Exact van der Waerden Numbers, Vol 5(2)
• (with Tim LeSaulnier) On Monochromatic Ascending Waves, Vol 7(2)
• (with Yu-Hin Au and Jeffrey Shallit) Van der Waerden's Theorem and Avoidability in Words, Vol 11

• (with Ben Small) On Newman's Conjecture and Prime Trees, Vol 9
• (with Bayley Larsen, Hunter Lehmann, and Andrew Park) Coprime Mappings on n-sets, Vol 17

• Sturmian Expansions and Entropy, Vol 11b

• (with Steven J. Miller and Sean Pegado) Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets, Vol 12

• (with Gretchen L. Matthews) A Variant of the Frobenius Problem and Generalized Suzuki Semigroups, Vol7(2)

• (with Ilya D. Shkredov and Arne Winterhof) Packing Sets over Finite Abelian Groups, Vol 18

• (with Michael D.Hirschhorn and James A. Sellers) Infinite Families of Divisibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts, Vol 9

• (with R. Tijdeman) The Tribonacci Substitution, Vol 5(3)

• (with Sandy Ganzell and Alex Meadows) Twist Untangle and Related Knot Games, Vol 14

• (with Gill Barequet, Micha Moffie, and Ares Ribó) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with Bart Goddard) Sum of Two Repdigits a Square, Vol 17

• (with R. Thangadurai) On ℓ-th Order Gap Balancing Numbers, Vol 18

• (with Ae Ja Yee) The Finite Heine Transformation and Conjugate Durfee Squares, Vol 9

• Non-Regularity of ⌊ α + log_k n ⌋, Vol 10
• A Matrix Generalization of a Theorem of Fine, Vol 18A

• The Distribution of Solutions to xy = N (MOD a) with an Application to Factoring Integers, Vol 13

• (with A. Iosevich) Powder Diffraction from a Combinatorial and Analytic Viewpoint, Vol 8(2)

• (with Arthur Holshouser and Harold Reiter) Pilesize Dynamic One-pile Nim and Beatty's Theorem, Vol 4

• (with Pablo Candela and Oriol Serra) Memorial to Javier Cilleruelo: A Problem List, Vol 18

• (with Bela Bajnok) The Independence Number of a Subset of an Abelian Group, Vol 3
• (with Ernie Croot and Tomasz Schoen) Arithmetic Progressions in Sparse Sumsets, Vol 7(2)
• (with C. Bachoc and M. Matolcsi) Squares and Difference Sets in Finite Fields, Vol 13
• (with Francesco Monopoli) Carries and the Arithmetic Progression Structure of Sets, Vol 17

• (with Mathieu Dutour and Robert Erdahl) Perfect Delaunay Polytopes in Low Dimensions, Vol 7

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• (with Daniel Schaal and Jacent Tokaz) Disjunctive Rado Numbers for x₁ + x₂ + c = x₃, Vol 7

• (with Shunji Ito) Beta-Expansions With Negative Bases, Vol 9
• (with Fumihiko Nakano) A β-Expansion Associated to Sturmian Sequences, Vol 12

• (with Carla D. Savage) Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences, Vol 10
• (with Xi Chen) The Fractal Nature of the Fibonomial Triangle, Vol 14

• (with Hayri Ardal, Tom Brown, and Veselin Jungić) On Abelian and Additive Complexity in Infinite Words, Vol 12
• Sturmian Words and Constant Additive Complexity, Vol 15

• (with Daniel Panario and Qiang Wang) A Family of Fibonacci-Like Conditional Sequences, Vol 13

• (with Papa A. Sissokho and Jordan N. Torf) A Zero-Sum Theorem Over Z, Vol 13

• (with S. Khongsit) A Congruence for the Fermat Quotient Modulo p³, Vol 16

• (with Miho Aoki) On Divisibility of Generalized Fibonacci Numbers, Vol 15

• (with Jürgen Kritschgau) Origami Constructions of Rings of Integers of Imaginary Quadratic Fields, Vol 17

• (with Emanuele Munarini) Circular Binary Strings without ZigZags, Vol 3

• (with Louis Helm, Phil Moore, and George Woltman) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with T. Sander) On the Kernel of the Coprime Graph of Integers, Vol 9

• (with J.W. Sander) On the Kernel of the Coprime Graph of Integers, Vol 9

• Partitions of Natural Numbers and Their Representative Functions, Vol 4
• Random B_h Sets and Additive Bases in Z_n, Vol 7

• (with László Tóth) Extremal Orders of Compositions of Certain Arithmetical Functions, Vol 8(1)

• On the Exponential Sum With the Sum of Digits of Hereditary Base b Notation, Vol 14

• (with Pantelimon Stănică, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• On Products and Shifted Products of Residues Modulo p, Vol 8(2)
• (with Vsevolod F. Lev) An Erdős-Fuchs Type Theorem for Finite Groups, Vol 11A
• (with Katalin Gyarmati) On Reducible and Primitive Subsets of F_p, I, Vol 15A

• (with Seema Kushwaha) On Finite Semi-regular Continued Fractions, Vol 16

• (with Nayandeep Deka Baruah) The Number of Representations of a Number as Sums of Various Polygonal Numbers, Vol 12

• (with Paul Yiu and Shanzhen Gao) Heron Sequences and Their Modifications, Volume 9 Supplement

• On a Relation Between the Riemann Zeta Function and the Stirling Numbers, Vol 8(1)

• (with Sylvie Corteel) Plane Partition Diamonds and Generalizations, Vol 3
• (with Sylvie Corteel and Herbert S. Wilf) A Note on Partitions and Compositions Defined by Inequalities, Vol 5(1)
• (with Sylvie Corteel and Sunyoung Lee) Five Guidelines for Partition Analysis with Applications to Lecture Hall-type Theorems, Vol 7(2)
• (with Nicholas A. Loehr) Generalizing the Combinatorics of Binomial Coefficients Via l-Nomials, Vol 10
• (with Bruce E. Sagan) Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences, Vol 10
• (with Thomas W. Pensyl) Lecture Hall Partitions and the Wreath Products C_k ≀ S_n, Vol 12B

• (with Fang Chen) Minimal Zero-sum Sequences of Maximum Length in the Group C₃ ⊕ C_3k, Vol 7
• (with Fang Chen) Long Minimal Zero-Sum Sequences in the Group C₂⊕ C_2k, Vol 12
• (with Fang Chen) Long Minimal Zero-Sum Sequences in the Groups C ₂^r-1 ⊕ C_2k, Vol 14

• (with Dusty Sabo and Jacent Tokaz) Disjunctive Rado Numbers for x₁ + x₂ + c = x₃, Vol 7
• (with Hunter Snevily) A Multiplicity Problem Related to Schur Numbers, Vol 8(1)
• (with Liz Lane-Harvard) Disjunctive Rado Numbers for ax₁+x₂=x₃ and bx₁+x₂=x₃, Vol 13

• (with Max Lewis) k-Lehmer and k-Carmichael Numbers, Vol 16

• (with Immanuel Halupczo) Achieving Snaky, Vol 7
• (with Gautami Bhowmik and Immanuel Halupczok) Inductive Methods and Zero-sum Free Sequences, Vol 9
• Completely Multiplicative Automatic Functions, Vol 11

• (with Jeffery James) Some Observations and Solutions to Short and Long Glo bal Nim, Vol 8(1)
• (with Mark Goadrich) Analyzing Two-Color Babylon, Vol 11

• On Zero-Sum Subsequences in Finite Abelian Groups, Vol 1
• (with W. D. Gao, Q. H. Hou, and R. Thangadurai) On Short Zero-Sum Subsequences II, Vol 7

• (with Jurgen Bierbrauer) An Asymptotic Gilber-Varshamov Bound for (t,m,s)-nets, Vol 5(3)

• Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients, Vol 18

• On the Reducibility of Exact Covering Systems, Vol 15

• (with Peter Paule) Truncating Binomial Series with Symbolic Summation, Vol 7
• (with Markus Kuba and Helmut Prodinger) Generalized Reciprocity Laws for Sums of Harmonic Numbers, Vol 8(1)

• (with John M. Freeman and Wandi Wei) On the Tennis Ball Problem, Vol 11

• Multiple Set Addition in Zp, Vol 3
• (with Oleg Pikhurko) Integer Sets Having the Maximum Number of Distinct Differences, Vol 7
• (with Ernie Croot and Imre Ruzsa) Arithmetic Progressions in Sparse Sumsets, Vol 7(2)
• (with Ilya D. Shkredov) A Remark on A+B and A-A for Compact Sets in Rⁿ, Vol 16

• The Fourier Transform of Functions of the Greatest Common Divisor, Vol 8(1)

• Periodic Multiplicative Algorithms of Selmer Type, Vol 5(1)
• Volume as a Measure of Approximation for the Jacobi-Perron Algorithm, Vol 10
• Variations of the Poincaré Map, Vol 11
• Schweiger, Fritz
• Brun Meets Selmer, Vol 13
• On David's 2-Dimensional Continued Fraction, Vol 14
• Convergence of David's 2-dimensional Continued Fraction, Vol 15
• Invariant Measures for Continued Fractions With Variable Numerators, Vol 17

• Left Weighted Catalan Extension, Vol 10

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, and Mathew Lepinski) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Robert Styer) Handling a Large Bound for a Problem on the Generalized Pillai Equation ± r a^x ± s b^y=c, Vol 14

• (with Sergey Kitaev and Toufik Mansour) Counting Ordered Patterns in Words Generated by Morphisms, Vol 8(1)

• (with Aaron Meyerowitz) The 392 Problem, Vol 12A

• Extending a Recent Result of Santos on Partitions into Odd Parts, Vol 3
• (with Kevin M. Courtright) Arithmetic Properties for Hyper m-ary Partition Functions, Vol 4
• Corrigendum to Article A4, Volume 3(2003) (Extending A Recent Result of Santos on Partitions into Odd Parts), Vol 4
• (with Michael D. Hirschhorn) An Infinite Family of Overpartition Congruences Modulo 12, Vol 5(1)
• Observations on the Parity of the Total Numbers of Parts in Odd-part Partitions, Vol 7
• (with Brian Hopkins) Exact Enumeration of Garden of Eden Partitions, Vol 7(2)
• (with Derrick M. Keister and Robert G. Vary) Some Arithmetic Properties of Overpartition k-Tuples, Vol 9
• (with Michael D. Hirschhorn and Øystein J. Rødseth) Infinite Families of Divis ibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts, Vol 9
• (with Shishuo Fu) Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs, Vol 12
• (with Frank G. Garvan) Congruences for Generalized Frobenius Partitions with an Arbitrarily Large Number of Colors, Vol 14
• (with Bin Lan) Properties of a Restricted Binary Partition Function a la Andrews and Lewis, Vol 15
• (with Matthew S. Mizuhara and Holly Swisher) A Periodic Approach to Plane Partition Congruences, Vol 16
• (with Abdulaziz M. Alanazi and Augustine O. Munagi) An Infinite Family of Congruences for ℓ-regular Overpartitions, Vol 16

• (with Pantelimon Stănică, Santanu Sarkar, Subhamoy Maitra, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• A Note on the Multiplicative Structure of an Additively Shifted Product Set AA+1, Vol 13
• (with Mizan R. Khan, Richard Magner, and Arne Winterhof) Two Combinatorial Geometric Problems involving Modular Hyperbolas, Vol 14

• Representation of Real Numbers by the Alternating Cantor Series, Vol 17

• (with Andrew P. Dove, Jerrold R. Griggs, and Ross J. Kang) Supersaturation in the Boolean Lattice, Vol 14A

• (with Gilles Zemor) On a Generalization of a Theorem by Vosper, Vol 0
• (with J. Nešetřil) Semigroups with the Erdős-Turán Property, Vol 7(2)
• (with Pablo Candela and Juanjo Rué) Memorial to Javier Cilleruelo: A Problem List, Vol 18

• (with Emre Alkan and Haydar Göral) Hyperharmonic Numbers Can Rarely Be Integers, Vol 18

• Distance in the Affince Buildings of SL_n and Sp_n, Vol 8(1)

• (with Qing-Hu Hou and Toufik Mansour) Partial Transposes of Permutation Matrices, Vol 8(1)

• (with James Stankewicz) Unbounded Discrepancy in Frobenius Numbers, Vol 11
• (with Yu-Hin Au and Aaron Robertson) Van der Waerden's Theorem and Avoidability in Words, Vol 11
• (with Sajed Haque) Discriminators and k-Regular Sequences, Vol 16

• Generalized Levinson-Durbin Sequences and Binomial Coefficients, Vol 9

• (with Manu Sridharan) New Temperatures in Domineering, Vol 5(1)

• (with Jim Brown, Robert Cass, Kevin James, Rodney Keaton, and Salvatore Parenti) Counting Tamely Ramified Extensions of Local Fields up to Isomorphism, Vol 16

• (with S. David Shapiro) Iterated Exponents in Number Theory, Vol 7

• (with Daniel B. Shapiro) Iterated Exponents in Number Theory, Vol 7

• Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities, Vol 12

• (with Anwar Ayyad and Todd Cochrane) Modular Hyperbolas and the Congruence ax₁x₂…x_k + bx_k+1x_k+2…x_2k ≡ c mod m, Vol 18

• (with Feng Qi and Bai-Ni Guo) Two Explicit Formulas of the Schröder Numbers, Vol 16

• (with Dan Ismailescu) On Numbers That Cannot be Expressed as a Plus-Minus Weighted Sum of a Fibonacci Number and a Prime, Vol 14

• (with Tomasz Schoen) A Remark on A+B and A-A for Compact Sets in Rⁿ, Vol 16
• On Tripling Constant of Multiplicative Subgroups, Vol 16
• (with Oliver Roche-Newton and Arne Winterhof) Packing Sets over Finite Abelian Groups, Vol 18

• On Relatively Prime Sets Counting Functions, Vol 10

• (with C. Augspurger, M. Minter, P. Sissokho, and K. Voss) Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers, Vol 17

• (with William D. Banks) Integers with a Large Smooth Divisor, Vol 7
• (with Carl Pomerance) On Pseudosquares and Pseudopowers, Volume 9 Supplement
• (with Kevin A. Broughan and Florian Luca) Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem, Vol 10
• (with Antal Balog and Kevin A. Broughan) Sum-Products Estimates with Several Sets and Applications, Vol 12
• (with Carl Pomerance) Connected Components of the Graph Generated by Power Maps in Prime Finite Fields, Vol 18A

• Parity Theorems for Statistics on Permutations and Catalan Words, Vol 5(1)
• Combinatorial Proof of Some Moriarty-Type Binomial Coefficient Identities, Vol 6
• Combinatorial Proofs of Some Simon-Type Binomial Coefficient Identities, Vol 7
• (with Arthur T. Benjamin) Recounting Determinants for a Class of Hessenberg Matrices, Vol 7
• Tiling Proofs of Some Fibonacci-Lucas Relations, Vol 8(1)
• Tiling Proofs of Some Formulas for the Pell Numbers of Odd Index, Vol 9
• Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions, Vol 10
• (with Alex Eustis) Combinatorial Proofs of Some Identities for the Fibonacci and Lucas Numbers, Vol 11
• (with Toufik Mansour) A Recurrence Related to the Bell Numbers, Vol 11
• (with Toufik Mansour) Avoiding Type (1,2) or (2,1) Patterns in a Partition of a Set, Vol 12
• Convolution Identities for Stirling Numbers of the First Kind Via Involution, Vol 12

• (with Eric Gottlieb) Erdős-Szekeres Results for Set Partitions, Vol 15

• The Game of Take Turn, Vol 7(2)

• (with Sarmad Abbasi) Some Hardness Results for Question/Answer Games, Vol 7

• (with Doowon Koh) Additive Energy and the Falconer Distance Problem in Finite Fields, Vol 13

• (with Oliva Beckwith, Victor Luo, Steven J. Miller, and Nicholas Triantafillou) Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, Vol 15

• (with Simon Litsyn) On Factorization of Integers with Restrictions on the Exponents, Vol 7
• The Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables, Vol 12
• (with Peter J. C. Moses) On a Sequence of Polynomials with Hypothetically Integer Coefficients, Vol 13
• (with Peter J. C. Moses) Tangent Power Sums and Their Applications, Vol 14
• (with Peter J. C. Moses) Alice and Bob Go to Dinner: A Variation on ménage, Vol 16

• (with Amir Akbary) The Largest Known Wieferich Numbers, Vol 18

• Theory and Practice of Sylver Coinage, Vol 2

• (with Simon Baker) Expansions in Non-Integer Bases: Lower Order Revisited, Vol 14

• Snaky is a 41-dimensional Winner, Vol 4
• Proof Trees for Weak Achievement Games, Vol 8(1)
• (with Ian Douglas) Edge Animal Weak (1,2)-Achievement Games, Vol 12

• (with Valérie Berthé) Tilings Associated with Beta-numeration and Substitutions, Vol 5(3)
• (with R. J. Nowakowski) Partizan Geography on K_n x K₂, Vol 7(2)

• (with James McGaughlin) Combinatorics of Ramanujan-Slater Type Identities, Volume 9 Supplement
• (with Yuriy Choliy and Louis W. Kolitsch) Partition Recurrences, Vol 18B

• (with Carlos Pereira dos Santos) Konane has Infinite Nim-dimension, Vol 8(1)

• (with Scott Jenkins) Composite Covering Systems of Minimum Cardinality, Vol 3
• Disjoint Beatty Sequences, Vol 4
• Intersecting Rational Beatty Sequences, Vol 13

• New Sequences That Converge to a Generalization of Euler's Constant, Vol 11

• More Kolakoski Sequences, Vol 11b

• (with N. R. Kanasri and V. Laohakosol) Reducibility of Polynomials Over Algebraic Number Fields, Vol 17

• Symmetries in k-Bonacci Adic Systems, Vol 11b
• Pisot Numbers and Chromatic Zeros, Vol 13

• (with Marvin L. Sahs and Jordan N. Torf) A Zero-Sum Theorem Over Z, Vol 13
• (with C. Augspurger, M. Minter, K. Shoukry, and K. Voss) Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers, Vol 17

• On Vanishing Sums of Distinct Roots of Unity, Vol 10

• (with Erik Järleberg) Pomax Games -- A Family of Integer-valued Partizan Games Played on Posets, Vol 16
• (with Kimmo Eriksson and Markus Jonsson) An Exponential Limit Shape of Random q-proportion Bulgarian Solitaire, Vol 18

• (with Jonathan Borwein and Christopher Maitland) Computation of an Improved Lower Bound to Giuga's Primality Conjecture, Vol 13

• (with J.-P. Allouche and M. Mendès France) Non-intersectivity of Paperfolding Dragon Curves and of Curves Generated by Automatic Sequences, Vol 18A

• (with Karl Dilcher) The Cube of the Fermat Quotient, Vol 6

• (with Matthew Hyatt) On the Increases of the Sequence _⌊ k√n _⌋, Vol 15

• Q-Binomials and the Greatest Common Divisor, Vol 8(1)

• (with Adam Jobson, Susan Calcote White, and D. Jacob Wildstrom) Variations on Narrow Dots-and-Boxes and Dots-and-Triangles, Vol 17

• (with Jorn Steuding) Simpson's Paradox in the Farey Sequence, Vol 6

• (with Roman Wituła) Conjugate Sequences in a Fibonacci-Lucas Sense and Some Identities for Sums of Powers of Their Elements, Vol 7

• (with Leanne Robertson) On Newman's Conjecture and Prime Trees, Vol 9

• (with S. Nyandwi) Distribution Laws of Pairs of Divisors, Vol 13

• (with Pantelimon Stănică) Comply/Constrain Games or Games with a Muller Twist, Vol 2

• (with Scott T. Chapman) A Characterization of Minimal Zero-Sequences of Index One in Finite Cyclic Groups, Vol 5(1)

• (with Kálmán Győry) The Divisibility of aⁿ-bⁿ by Powers of n, Vol 10

• (with Daniel Schaal) A Multiplicity Problem Related to Schur Numbers, Vol 8(1)
• (with Tanbir Ahmed, Michael G. Eldredge, and Jonathan J. Marler) Strict Schur Numbers, Vol 13

• Reciprocal Power Sums, Vol 12
• (with N. Batir) On Finite Sums and Integral Representations, Vol 13

• Some Properties of the Euler Quotient Matrix, Vol 6

• (with Michel Planat) The Robin Inequality for 7-Free Integers, Vol 11
• Solé, Patrick
• (with Yuyang Zhu) An Asymptotic Robin Inequality, Vol 16

• (with Lenny Jones) Primes in Shifted Sums of Lucas Sequences, Vol 17
• (with Michal Křížek) Nondefective Integers With Respect to Certain Lucas Sequences of the Second Kind, Vol 18

• (with Ram Krishna Pandey) On Unavoidable Obstructions in Gaussian Walks, Vol 16

• (with Geoffrey Caveney and Jean-Louis Nicolas) Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis, Vol 11
• (with Kieren MacMillan) Reducing the Erdős-Moser Equation 1ⁿ + 2ⁿ + ... + kⁿ = (k+1)ⁿ Modulo k and k², Vol 11

• (with Graeme L. Cohen) On Odd Perfect Numbers and Even 3-Perfect Numbers, Vol 12A

• (with Lindsey Reinholz and Qiduan Yang) On Congruent Numbers With Three Prime Factors, Vol 11

• (with Norbert Hungerbuhler) A Generalization of the Smarandache Function to Several Variables, Vol 6

• (with Yogesh More) A Generalization of Schauz and Brink's Restricted-Variable Version of Chevalley's Theorem, Vol 17

• (with Florin P. Boca and Byron Heersink) Gap Distribution of Farey Fractions under Some Divisibility Constraints, Vol 13
• (with Andrew Ledoan and Alexandru Zaharescu) Eigenvalues and Arithmetic Functions on PSL₂(Z), Vol 14

• (with Johannes F. Morgenbesser) A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function, Vol 12
• A Digit Reversal Property for Stern Polynomials, Vol 17

• Equality Classes of Nim Positions under Misère Play, Vol 16

• (with Natalio H. Guersenzvaig) Counting Functions and Finite Differences, Vol 7
• Cycles in War, Vol 10

• (with Donatella Merlini) A Riordan Array Proof of a Curious Identity, Vol 5(1)
• (with Donatella Merlini and M. Cecilia Verri) The Akiyama-Tanigawa Transformation, Vol 5(1)
• Sums of Reciprocals of the Central Binomial Coefficients, Vol 6

• (with Ajeet Shankar) New Temperatures in Domineering, Vol 5(1)

• An Upper Bound for Ramanujan Primes, Vol 14
• (with John W. Nicholson) An Improved Upper Bound for Ramanujan Primes, Vol 15

• (with Ram Krishna Pandey and Om Prakash) On the Maximal Density of Integral Sets Whose Differences Avoiding the Weighted Fibonacci Numbers, Vol 17

• (with Richard M. Low) King and Rook Vs. King on a Quarter-Infinite Board, Vol 6

• On the Structure of Sets with Small Doubling Property on the Plane (II), Vol 8(2)

• A Modular Identity for the Ramanuajan Identity Modulo 35, Vol 2

• (with Furman Smith) Comply/Constrain Games or Games with a Muller Twist, Vol 2
• Cholesky Factorizations of Matrices Associated with r-order Recurrent Sequences, Vol 5(2)
• Graph Eigenvalues and Walsh Spectrum of Boolean Functions, Vol 7(2)
• (with Thomas W. Cusick and Yuan Li) On a Combinatorial Conjecture, Vol 11
• Stănică, Pantelimon
• (with Santanu Sarkar, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• (with Jeffrey Shallit) Unbounded Discrepancy in Frobenius Numbers, Vol 11

• Packing Polynomials on Sectors of R², Vol 14

• The Relative Sizes of Sumsets and Difference Sets, Vol 15

• (with Dennis Eichhorn, Mizan R. Khan, and Christian L. Yankov Sums and Differences of the Coordinates of Points on Modular Hyperbolas, Volume 9 Supplement

• (with Carsten Elsner) On the Value Distribution of Error Sums for Approximati ons With Rational Numbers, Vol 12

• (with Don Coppersmith) On the Entry Sum of Cyclotomic Arrays, Vol 6

• (with Wieb Bosma and Michel Dekking) A Remarkable Integer Sequence Related to π and √2, Vol 18A

• Parry Extensions of Polynomial Sequences, Vol 2
• (with Emilie Charlier and Michel Rigo) Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant, Vol 8(1)

• (with Mark Budden and Yanbo Zhang) Weakened Ramsey Numbers and Their Hypergraph Analogues, Vol 17

• (with Rasa Slezeviciene-Steuding) Simpson's Paradox in the Farey Sequence, Vol 6

• (with Melissa Huggan) Polynomial Time Graph Families for Arc Kayles, Vol 16

• The Sequential Join of Combinatorial Games, Vol 7
• Pirates and Treasure, Vol 13

• (with Julien Leroy and Michel Rigo) Counting Subword Occurrences in Base-b Expansions, Vol 18A

• (with John Engbers) Two Combinatorial Proofs of Identities Involving Sums of Powers of Binomial Coefficients, Vol 16
• (with John Engbers) Combinatorial Proofs of Identities of Alzer and Prodinger and Some Generalizations, Vol 18

• (with John B. Friedlander and Florian Luca) On the Irrationality of a Divisor Function Series, Vol 7

• (with Josefina López) The 3x+1 Conjugacy Map Over a Sturmian Word, Vol 9
• (with Josefina López) The 2-Adic, Binary and Decimal Periods of 1/3^k Approach Full Complexity for Increasing k, Vol 12

• On a Multi-parameter Family of Newman Phenomenon Triples, Vol 5(3)
• (with Hajime Kaneko) On Subwords in the Base-q Expansion of Polynomial and Exponential Functions, Vol 18A

• (with Arun P. Mani) Congruences for Weighted Number of Labeled Forests, Vol 16

• (with Kimberly Hopkins) Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms, Vol 10

• (with David Borwein, Jonathan M. Borwein, and James Wan) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• (with Vladimír Baláž and Pierre Liardet) Distribution Functions of the Sequence φ(M)/M, M ∈ (K,K+N] As K, N Go to Infinity, Vol 10

• (with Neil Hindman and Amir Maleki) Linear Equations in the Stone-Cech Compactification of N, Vol 0
• (with Timothy J. Carlson and Neil Hindman) Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Cech Compactification, Vol 5(2)

• (with Hillevi Gavel) Nim with a Modular Muller Twist, Vol 4

• Winning Paths in N-by-Infinity Hex, Vol 7

• (with David Einstein, Daniel Lichtblau, and Stan Wagon) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• A Short Note on Reduced Residues, Vol 17

• (with Reese Scott) Handling a Large Bound for a Problem on the Generalized Pillai Equation ± r a^x ± s b^y=c, Vol 14

• (with Koji Momihara) Conference Matrices With Maximum Excess and Two-intersection Sets, Vol 17

• (with David Burt, Eli Goldstein, Sarah Manski, Steven J. Miller, and Eyvindur Ari Palsson) Crescent Configurations, Vol 16

• (with Kantaphon Kuhapatanakul) The Generalized Tribonacci Numbers with Negative Subscripts, Vol 14

• (with Melvyn B. Nathanson) Heights in Finite Projective Space, and a Problem on Directed Graphs, Vol 8(1)

• (with Neil Watling) Independent Divisibility Pairs on the Set of Integers from 1 to N, Vol 13

• (with Heinrich Niederhausen) Counting Depth Zero Patterns in Ballot Paths, Vol 11
• (with Erik Insko and Katie Johnson) An Ordered Partition Expansion of the Determinant, Vol 17

• Improvements on Chomp, Vol 2
• (with Victor H. Moll) A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral, Vol 10

• A Curious Identity Involving Binomial Coefficients, Vol 2
• On Covering Numbers, Vol 7(2)
• (with Song Guo and Zhi-Wei Sun) Mixed Sums of Squares and Triangular Numbers (II), Vol 7

• (with E. T. Baskoro and H. J. Broersma) The Ramsey Numbers of Large Cycles versus Small Wheels, Vol 4

• A Finite Ring Polynomial, Vol 4
• (with J. McLaughlin) Powers of a Matrix and Combinatorial Identities, Vol 5(1)
• (with Ankit Gupta) Decimal Expansion of 1/p and Subgroup Sums, Vol 5(1)
• (with J. McLaughlin) Some Observations on Khovanskii's Matrix Methods for Extracting Roots of Polynomials, Vol 7

• (with Oleg Lazarev) A Combinatorial Proof of a Recursive Formula for Multipartitions, Vol 11
• (with Matthew S. Mizuhara and James A. Sellers) A Periodic Approach to Plane Partition Congruences, Vol 16

• (with Andries E. Brouwer, Gabor Horvath, and Ildiko Molnar-Saska) On Three-rowed Chomp, Vol 5(1)
• (with Péter Árendás, Ferenc Bencs, and Zoltán L. Blázsik) Compositions of Complements of Graphs, Vol 16
• (with Péter Árendás, Zoltán L. Blázsik, and Bertalan Bodor) On the Complexity and Topology of Scoring Games: of Pirates and Treasure, Vol 17

• Some Fourth Degree Diophantine Equations in Gaussian Integers, Vol 4
• Factorizations and Paige's Theorem on Complete Maps, Vol 6
• (with Keresztély Corrádi) Factorization Results with Combinatorial Proofs, Vol 9

• (with Florian Luca) Lucas Diophantine Triples, Vol 9
• (with Volker Ziegler) S-Diophantine Quadruples with Two Primes Congruent to 3 Modulo 4, Vol 13
• (with Takao Komatsu) q-multiparameter-Bernoulli Polynomials and q-multiparameter-Cauchy Polynomials by Jackson's Integrals, Vol 16

T

• (with David Garth and Joseph Palmer) Self Generating Sets and Numeration Systems, Volume 9 Supplement

• (with Takao Komatsu and Florian Luca) On the Multiplicative Order of F_n+1/F_n Modulo F_m, Vol 12B

• (with Arseniy Akopyan) On the Number of Points in a Lattice Polytope, Vol 11

• (with A. R. Moghaddamfar) Lucas Numbers and Determinants, Vol 11

• (with Mohamed Taoufiq Damir, Bernadette Faye, and Amadou Tall) Fibonacci Numbers with Prime Sums of Complementary Divisors , Vol 14

• (with Emrah Kiliç) Binomial Sums for the General Second Order Linear Recurrence, Vol 10
• General Sum Formula for Bi-periodic Fibonacci and Lucas Numbers, Vol 17

• (with Hsuan-Chu Li and Young-Ming Chen) Determinants of Fibonacci -Hessenberg Matrices Using LU Factorizations, Vol 9

• (with Mark Daniel Ward) On Kotzig's Nim, Vol 14

• (with Min Tang) Note on a Result of Haddad and Helou, Vol 10

• (with Taiyu Li) On a Theorem of Prachar Involving Prime Powers, Vol 11
• (with Wen Yu) A Note on Partitions of Natural Numbers and Their Representation Functions, Vol 12

• (with Chi-Wu Tang) Note on a Result of Haddad and Helou, Vol 10
• (with Zhao-Jun Li) A Remark on a Paper of Luca and Walsh, Vol 11
• (with Zhi-Jun Zhou) On a Conjecture of De Koninick, Vol 18

• (with Shu-Juan Duan and Dan Liu) A Planar Integral Self-Affine Tile with Cantor Set Intersections With Its Neighbors, Vol 9

• A Study of Eulerian Numbers for Permutations in the Alternating Group, Vol 6

• (with Aviezri Fraenkel) A Class of Wythoff-Like Games, Vol 12B

• The Dinner Table Problem: The Rectangular Case, Vol 6
• Supercongruences for a Truncated Hypergeometric Series, Vol 12
• (with Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood) Multiple Harmonic Sums and Multiple Harmonic Star Sums are (Nearly) Never Integers, Vol 17
• (with Tewodros Amdeberhan, David Callan, and Hideyuki Ohtsuka) Revitalized Automatic Proofs: Demonstrations, Vol 17

• (with Robert Davis, Jessica Doering, Ashley Harrison, and Jenna Noll) Compositions Constrained by Graph Laplacian Minors, Vol 13

• Combinatorial Interpretations of Convolutions of the Catalan Numbers, Vol 11

• (with Sean Meehan, Michael Weselcouch, and Aklilu Zeleke) Proofs of Ruehr's Identities, Vol 14

• (with T. Kyle Petersen) How to Write a Permutation as a Product of Involutions (and Why You Might Care), Vol 13

• (with Florian Luca) Aliquot Cycles of Repdigits, Vol 11

• New Proofs for the p,q-Analogue of Chu-Vandermonde's Identity, Vol 13

• Non-canonical Extensions of Erdos-Ginzburg-Ziv Theorem, Vol 2
• (with W. D. Gao, Q. H. Hou, and W. A. Schmid) On Short Zero-Sum Subsequences II, Vol 7
• (with G. K. Viswanadham) On the Prime k-tuple Conjecture, Vol 14
• (with M. N. Chintamani and Prabal Paul) On Short Zero-sum Sequences Over Abelian p-groups, Vol 17
• (with J-M. Deshouillers) A Sufficient Condition for (θⁿ)_n to Have a Distribution Modulo One, When θ is in F₂(X), Vol 18A
• (with S. S. Rout) On ℓ-th Order Gap Balancing Numbers, Vol 18

• On RATS Sequences in General Bases, Vol 14

• (with Pete L. Clark, Jacob Hicks, and Nathan Walters) GoNII: Universal Quaternary Quadratic Forms, Vol 12
• (with Pete L. Clark, Jacob Hicks, and Hans Parshall) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13
• (with Jacob Hicks) GoNIII: More Universal Quaternary Quadratic Forms, Vol 16

• (with Mark Budden, Nicole Calkins, William Nathan Hack, and Joshua Lambert) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• Heights of Divisors of xⁿ-1, Vol 11A

• Maier Matrices Beyond Z, Volume 9 Supplement
• Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems, Vol 12B

• (with Paul Jenkins) Weakly Holomorphic Modular Forms in Prime Power Levels of Genus Zero, Vol 18

• (with Michael Mays) Graph Compositions: Deleting Edges from Complete Graphs, Vol 15

• (with Sergey Kitaev and Jeffrey Remmel) Quadrant Marked Mesh Patterns in 132-Avoiding Permutations II, Vol 15
• (with Sergey Kitaev and Mark Tiefenbruck) Quadrant Marked Mesh Patterns in 132-Avoiding Permutations III, Vol 15

• (with S. W. Rosema) The Tribonacci Substitution, Vol 5(3)
• (with Luca Q. Zamboni) Characterizations of Words With Many Periods, Vol 9

• Upper and Lower Bounds on B_k⁺-Sets, Vol 14
• Upper Bounds for B_h[g]-sets With Small h, Vol 16

• (with Jiagui Luo and Pingzhi Yuan) On Some Equations Related to Ma's Conjecture, Vol 11
• (with Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, Florian Luca, and V. Janitzio Mejía Huguet) There Are No Multiply-Perfect Fibonacci Numbers, Vol11A

• (with Uha Isnaini) On Some Congruences for Andrews' Singular Overpartitions, Vol 18

• (with Dusty Sabo and Daniel Schaal) Disjunctive Rado Numbers for x₁ + x₂ + c = x₃, Vol 7

• (with Tamas Lengyel) A Congruential Identity and the 2-adic Order of Lacunary Sums of Binomial Coefficients, Vol 4

• (with Karl Dilcher) Square Classes and Divisibility Properties of Stern Polynomials, Vol 18

• (with Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16

• (with Marvin L. Sahs and Papa A. Sissokho) A Zero-Sum Theorem Over Z, Vol 13

• (with József Sándor) Extremal Orders of Compositions of Certain Arithmetical Functions, Vol 8(1)
• On the Number of Certain Relatively Prime Subsets of {1, 2, ..., n}, Vol 10
• Some Remarks on a Paper of V. A. Liskovets, Vol 11

• (with D. G. Horrocks) Subtraction with a Muller Twist, Vol 8(1)

• (with Kamil Adamczewski) The Smoothed Pólya-Vinogradov Inequality, Vol 15
• (with Paul Pollack) Finding the Four Squares in Lagrange's Theorem, Vol 18A

• (with Anant Godbole, Chang Mou Lim, and Vince Lyzinski) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13
• (with Olivia Beckwith, Victor Luo, Steven J. Miller, and Karen Shen) Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, Vol 15

• (with Sharon E. Behum) On a Problem of Ore, Vol 7(2)

• On the Divisibility of aⁿ ± bⁿ by Powers of n, Vol 13

• (with Julio C. Andrade, Steven J. Miller, and Kyle Pratt) Special Sets of Primes in Function Fields, Vol 14

• On a Variation of the Coin Exchange Problem for Arithmetic Progressions, Vol 3
• On a Linear Diophantine Problem of Frobenius, Vol 6
• On the Frobenius Problem for Geometric Sequences, Vol 8(1)
• (with Ram Krishna Pandey) On the Density of Integral Sets with Missing Differences, Volume 9 Supplement
• On the Frobenius Problem for {a^k, a^k+1, a^k+a, ..., a^k+a^k-1}, Vol 10
• On a Linear Diophantine Problem Involving the Fibonacci and Lucas Sequences, Vol 15
• (with Pooja Punyani) On Changes in the Frobenius and Sylvester Numbers, Vol 18B

• There Are No Socialist Primes Less Than 10⁹, Vol 14
• (with Kevin A. Broughan) Robin's Inequality for 11-free Integers, Vol 15

• Generalized Nonaveraging Integer Sequences, Vol 11

• (with Marcus Elia) Consecutive Integers and the Collatz Conjecture, Vol 15

• (with Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, and Madeleine Weinstein) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16

U

• (with Steven Chaplick, Piotr Micek, and Veit Wiechert) A Note on Concurrent Graph Sharing Games, Vol 16

• (with Donatella Merlini and M. Cecilia Verri) A Unified Approach to the Study of General and Palindromic Compositions, Vol 4

• (with Darren A. Narayan) Representations of Split Graphs, Their Complements, Stars, and Hypercubes, Vol 7

• (with Sukumar Das Adhikari and Chantal David) Generalizations of Some Zero-sum Theorems, Vol 8(1)

• Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables, Vol 12

V

• (with Tom Edgar and Hailey Olafson) Approximating the Fibonacci Sequence, Vol 16

• On the Fourier Transform of the Greatest Common Divisor, Vol 13

• On Multiplicative Functions with Bounded Partial Sums, Vol 12
• On an Incomplete Argument of Erdős on the Irrationality of Lambert Series, Vol 13
• On the Binary Digits of √2, Vol 18

• Explicit Mertens Sums, Vol 17

• (with Derrick M. Keister and James A. Sellers) Some Arithmetic Properties of Overpartition k-Tuples, Vol 9

• (with Borislav Karaivanov) On Certain Sums Involving the Legendre Symbol, Vol 16

• (with Elliot Catt and Michael Coons) Strong Normality and Generalized Copeland--Erdős Numbers, Vol 16

• (with L'ubomíra Dvořáková) Fixed Points of Morphisms Among Binary Generalized Pseudostandard Words, Vol 18

• Explicit Formulas for Bernoulli and Euler Numbers, Vol 8(1)

• Symmetric Subsets of Lattice Paths, Vol 0

• Beta-Conjugates of Real Algebraic Numbers as Puiseux Expansions, Vol 11b

• (with Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Brandon E. Dutra, and Matthias Köppe) Coefficients of Sylvester's Denumerant, Vol 15

• (with Francesca Uncini and Donatella Merlini) A Unified Approach to the Study of General and Palindromic Compositions, Vol 4
• (with Donatella Merlini and Renzo Sprugnoli) The Akiyama-Tanigawa Transformation, Vol 5(1)

• On the Largest k-primitive Subset of [1,n], Vol 6
• On a Variant of Van Der Waerden's Theorem, Vol 10
• (with Mano Vikash Janardhanan) Ramsey Functions for Generalized Progressions, Vol 15

• An Explicit Evaluation of the Gosper Sum, Vol 10
• An Approach to q-Series, Vol 14

• (with Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, and João Pedro Neto) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• On Some Problems of Gyarmati and Sárközy, Vol 12

• (with Chris Pinner and Vincent Pigno) The Lind-Lehmer Constant for Z_m x Zⁿ, Vol 16

• (with R. Thangadurai) On the Prime k-tuple Conjecture, Vol 14

• On the Order of Points on Curves Over Finite Fields, Vol 7

• (with Felix Breuer) Staircases in Z², Vol 10

• (with C. Augspurger, M. Minter, K. Shoukry, and P. Sissokho) Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers, Vol 17

• High Order Complementary Bases of Primes, Vol 2

W

• Character Sums and Ramsey Properties of Generalized Paley Graphs, Vol 6

• (with David Einstein, Daniel Lichtblau, and Adam Strzebonski) Frobenius Numbers by Lattice Point Enumeration, Vol 7
• Round Formulas for Exponential Polynomials and the Incomplete Gamma Function, Vol 16

• The Search for Aurifeuillian-Like Factorizations, Vol 12A

• (with David R. Wood) On Multiplicative Sidon Sets, Vol 13

• (with David Leach) A Characterization of Lattice-ordered Graphs, Vol 7(2)

• Squares in Lucas Sequences with Rational Roots, Vol 5(3)

• (with Charles Celerier, David Joyner, Caroline Melles, and David Phillips) Edge-weighted Cayley Graphs and p-ary Bent Functions, Vol 16

• (with Pete L. Clark, Jacob Hicks, and Katherine Thompson) GoNII: Universal Quaternary Quadratic Forms, Vol 12

• (with David Borwein, Jonathan M. Borwein, and Armin Straub) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• On Restricted Sumsets in Abelian Groups of Odd Order, Vol 8(1)

• (with Guodong Liu) An Explicit Formula for Higher Order Bernoulli Polynomials of the Second Kind, Vol 13

• (with Mustafa Ozen and Demet Yalman) Note on Leech-type Questions of Trees, Vol 16
• (with Maghann Moriah Gibson and Matthew Just) Note on Restricted Parts in Cyclic Compositions, Vol 18
• (with Daniel Gray and Charles Lanning) Pattern Containment in Circular Permutations, Vol 18B

• (with Zhizheng Zhang) A Common Generalization of Some Identities, Vol 5(1)

• (with Weidong Gao) The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group, Vol 12
• (with Yushuang Fan, Weidong Gao, Jiangtao Peng, and Qinghai Zhong) Remarks on Tiny Zero-Sum Sequences, Vol 13

• (with Murat Sahin and Daniel Panario) A Family of Fibonacci-Like Conditional Sequences, Vol 13

• (with Feng-Zhen Zhao) Some Results for Sums of the Inverses of Binomial Coefficients, Vol 5(1)

• (with Xiaoping Li, Xiang-Gen Xia, Wenjie Wang, and Jianguo Qian) Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers, Vol 17

• (with Wei Wang, Xiaoping Li, Xiang-Gen Xia, and Jianguo Qian) Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers, Vol 17

• (with Wenchang Chu) Multiple Convolution Formulae on Classical Combinatorial Numbers, Vol 7

• (with Xin Lu Tan ) On Kotzig's Nim, Vol 14
• (with Guy Louchard) Asymptotic Analysis of Sums of Powers of Multinomial Coefficients: A Saddle Point Approach, Vol 17

• (with Urban Larsson) Maharaja Nim: Wythoff's Queen meets the Knight, Vol 14

• (with Rosemary Sullivan) Independent Divisibility Pairs on the Set of Integers from 1 to N, Vol 13

• (with Émilie Charlier, Narad Rampersad, and Michel Rigo) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b

• Finite Representations of the Summatory Divisor Function and Ramanujan’s τ-Function, Vol 17

• (with Dianxuan Gong) Euler's Pentagonal Number Theorem Implies the Jacobi Triple Product Identity, Vol 11

• (with John M. Freeman and Tomas Schonbek) On the Tennis Ball Problem, Vol 11

• (with Daniel Birmajer and Juan B. Gil) On Hensel's Roots and a Factorization Formula in Z[[x]], Vol 14
• (with Daniel Birmajer and Juan B. Gil) Linear Recurrence Sequences With Indices in Arithmetic Progression and Their Sums, Vol 16

• On the Diophantine Equation Π x_i = Σ x_i, Vol 12

• (with Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, and Caroline Turnage-Butterbaugh) Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals, Vol 16
• Invariance of the Sprague-Grundy Function for Variants of Wythoff's Game, Vol 16

• (with Mario Weitzer) A Number Theoretic Problem on the Distribution of Polynomials With Bounded Roots, Vol 15

• (with David Penman) On Sets with More Restricted Sums than Differences, Vol 13

• (with Sean Meehan, Akalu Tefera, and Aklilu Zeleke) Proofs of Ruehr's Identities, Vol 14

• (with Lenny Jones) Sierpiński Numbers in Imaginary Quadratic Fields, Vol 12A

• (with Adam Jobson, Levi Sledd, and D. Jacob Wildstrom) Variations on Narrow Dots-and-Boxes and Dots-and-Triangles, Vol 17

• (with Steven Chaplick, Piotr Micek, and Torsten Ueckerdt) A Note on Concurrent Graph Sharing Games, Vol 16

• (with Adam Jobson, Levi Sledd, and Susan Calcote White) Variations on Narrow Dots-and-Boxes and Dots-and-Triangles, Vol 17

• (with Sylvie Corteel and Carla D. Savage) A Note on Partitions and Compositions Defined by Inequalities, Vol 5(1)

• (with R. K. Guy) Some Monoapparitic Fourth Order Linear Divisibility Sequences, Vol 12A
• (with R. K. Guy) Odd and Even Linear Divisibility Sequences of Order 4, Vol 15

• (with Greg Doyle) A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers, Vol 17
• (with Lerna Pehlivan) (k,l)-Universality of Ternary Quadratic Forms ax²+by²+cz², Vol 18

• (with Arie Bialostocki) On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence, Vol 9

• (with Agelos Georgakopoulos) Two-Color Babylon, Vol 12

• (with Mizan R. Khan, Richard Magner, and Steven Senger) Two Combinatorial Geometric Problems involving Modular Hyperbolas, Vol 14
• (with Oliver Roche-Newton and Ilya D. Shkredov) Packing Sets over Finite Abelian Groups, Vol 18

• Smith Numbers With Extra Digital Features, Vol 14

• (with Damian Słota) Conjugate Sequences in a Fibonacci-Lucas Sense and Some Identities for Sums of Powers of Their Elements, Vol 7

• (with Michael H. Albert, J. P. Grossman, and Richard J. Nowakowski) An Introduction to Clobber, Vol 5(2)
• (with William Fraser and Susan Hirshberg) The structure of the Distributive Lattice of Games Born by Day n, Vol 5(2)

• (with Louis Helm, Phil Moore, and Payam Samidoost) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with Luis Goddyn) Tight Instances of the Lonely Runner, Vol 6
• (with Greg Martin and Alexis Peilloux) Lower Bounds for Sumsets of Multisets in F_p², Vol 13

• (with David Wakeham) On Multiplicative Sidon Sets, Vol 13

• A Bijective Proof of f_n+4+f₁ + 2f₂ + ... + n f_n = (n+1)f_n+2+3, Vol 6

• A Variation on Perfect Numbers, Vol 4
• On the Average Orders of a Class of Divisor Functions, Vol 7

• The Impossibility of Certain Types of Carmichael Numbers, Vol 12

X

• (with Wei Wang, Xiaoping Li, Wenjie Wang, and Jianguo Qian) Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers, Vol 17

• Two Generalized Constants related to Zero-Sum Problems for Two Special Sets, Vol 7

• (with Hao Pan) Note on a Congruence Involving Products of Binomial Coefficients, Vol 7

• (with Jason Hedetniemi and Kevin James) Champion Primes For Elliptic Curves, Vol 14

Y

• (with Mustafa Ozen and Hua Wang) Note on Leech-type Questions of Trees, Vol 16

• Linear Equations Involving Iterates of σ(N), Volume 9 Supplement

• (with Ken Kamano and Yasuo Ohno) Weighted Lonesum Matrices and Their Generating Function, Vol 13

• A Combinatorial Proof of Guo's Multi-Generalization of Munarini's Identity, Vol 11

• (with Lindsey Reinholz and Blair K. Spearman) On Congruent Numbers With Three Prime Factors, Vol 11

• (with Feng-Juan Chen) On Bases With a T-Order, Vol 11

• (with Dennis Eichhorn, Mizan R. Khan, and Alan H. Stein) Sums and Differences of the Coordinates of Points on Modular Hyperbolas, Volume 9 Supplement

• (with Marcia Edson) A New Generalization of Fibonacci Sequence and Extended Binet's Formula, Vol 9
• (with Marcia Edson and Scott Lewis) The k-Periodic Fibonacci Sequence and an Extended Binet's Formula, Vol 11

• (with Shaun Cooper and Heung Yeung Lam) Representations of Squares by Certain Septenary Quadratic Forms, Vol 13
• Representations of Squares by Certain Ternary Quadratic Forms, Vol 14

• (with Keenan Monks) Congruences of Concave Composition Functions, Vol 13

• (with Michael Rowell) The Finite Heine Transformation and Conjugate Durfee Squares, Vol 9

• (with D. A. Goldston) Higher Correlations of Divisor Sums Related to Primes I: Triple correlations, Vol 3

• (with K.R.S. Sastry and Shanzhen Gao) Heron Sequences and Their Modifications, Volume 9 Supplement

• (with Florian Luca) Coincidences of Catalan and q-Catalan Numbers, Vol 11A
• Bernoulli Numbers and Generalized Factorial Sums, Vol 11A
• 2-adic Valuations of Generalized Fibonacci Numbers of Odd Order, Vol 18

• A Note on B₂[G] Sets, Vol 8(1)

• (with Min Tang) A Note on Partitions of Natural Numbers and Their Representation Functions, Vol 12

• (with Jiagui Luo and Alain Togbé) On Some Equations Related to Ma's Conjecture, Vol 11
• (with Guixin Deng) On a Combinatorial Conjecture of Tu and Deng, Vol 12
• (with Li Feng and Yongzhong Hu) On the Diophantine Equation x²-kxy+y²+lx=0, Vol 13
• (with Zhongfeng Zhang) A Note on a Conjecture of Erdős, Graham, and Spencer, Vol 13

Z

• (with Cristian Cobeli and Adrian Iordache) The Relative Size of Consecutive Odd Denominators in Farey Series, Vol 3
• (with A. H. Ledoan) Square-Full Divisors of Square-Full Integers, Vol 10
• (with Andrew Ledoan and Paul Spiegelhalter) Eigenvalues and Arithmetic Functions on PSL₂(Z), Vol 14
• (with Andrew Ledoan) A Divisibility Obstruction for Certain Walks on Gaussian Integers, Vol 14

• (with Robert Tijdeman) Characterizations of Words With Many Periods, Vol 9

• (with Sarah Manski and Jacob Mayle) The Asymptotic Distribution of a Hybrid Arithmetic Function, Vol 15

• Symbol-Crunching with the Transfer-Matrix Method in Order to Count Skinny Physical Creatures, Vol 0
• The Umbral Transfer-Matrix Method V: The Goulden-Jackson Cluster Method for Infinitely Many Mistakes, Vol 2
• (with Arthur T. Benjamin) Pythagorean Primes and Palindromic Continued Fractions, Vol 5(1)
• Symbolic Moment Calculus II: Why is Ramsey Theory Sooooo Eeeenormously Hard?, Vol 7(2)
• (with Moa Apagodu) Searching for Strange Hypergeometric Identities by Sheer Brute Force, Vol 8(1)
• (with Andrew Lohr) On The Limiting Distributions of the Total Height On Families of Trees, Vol 18

• (with Sean Meehan, Akalu Tefera, and Michael Weselcouch) Proofs of Ruehr's Identities, Vol 14

• (with Mahendra Jani) On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers, Vol 15A

• (with Harry Altman) Numbers With Integer Complexity Close to the Lower Bound, Vol 12A
• An Improvement of an Inequality of Ochem and Rao Concerning Odd Perfect Numbers, Vol 18

• (with Oriol Serra) On a Generalization of a Theorem by Vosper, Vol 0

• The Akiyama-Tanigawa Algorithm for Carlitz's q-Bernoulli Numbers, Vol 6

• On Zero-sum Partitions of Abelian Groups, Vol 15

• On Rainbow Solutions to an Equation with a Quadratic Term, Vol 9

• (with Alice L.L. Gao and Sergey Kitaev) On Pattern Avoiding Indecomposable Permutations, Vol 18

• (with Mark Budden and Matthew Stender) Weakened Ramsey Numbers and Their Hypergraph Analogues, Vol 17

• (with Jun Wang) A Common Generalization of Some Identities, Vol 5(1)

• (with Pingzhi Yuan) A Note on a Conjecture of Erdős, Graham, and Spencer, Vol 13

• A Combinatorial Proof of Two Equivalent Identities by Free 2-Motzkin Paths, Vol 13

• (with Tianming Wang) Some Results for Sums of the Inverses of Binomial Coefficients, Vol 5(1)
• (with Cong-Jiao Feng) Some Results for Generalized Harmonic Numbers, Vol 9
• The Monotonicity of Some Sequences Related to Hyperharmonic Numbers, Vol 17

• A Note on Colored Tornheim's Double Series, Vol 10
• Witten Volume Formulas for Semi-Simple Lie Algebras, Vol 11A
• On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums, Vol 13

• (with Tian-Xiao He) Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials, Vol 17

• (with Yushuang Fan, Weidong Gao, Jiangtao Peng, and Linlin Wang) Remarks on Tiny Zero-Sum Sequences, Vol 13

• (with Kevin A. Broughan) Odd Repdigits to Small Bases are Not Perfect, Vol 12
• (with Kevin A. Broughan and Daniel Delbourgo) Improving the Chen and Chen Result for Odd Perfect Numbers, Vol 13

• (with Long Zhu) On K-Imperfect Numbers, Vol 9

• (with Min Tang) On a Conjecture of De Koninick, Vol 18

• (with Weiyi Zhou) On K-Imperfect Numbers, Vol 9

• (with Patrick Solé) An Asymptotic Robin Inequality, Vol 16

• (with Anant Godbole, Samuel Gutekunst, and Vince Lyzinski) Logarithmic Representability of Integers as k-Sums, Vol 15A

• (with Jurgen Hartinger and Reinhold Kainhofer) On the corner Avoidance Properties of Various Low-discrepancy Sequences, Vol 5(3)
• (with László Szalay) S-Diophantine Quadruples with Two Primes Congruent to 3 Modulo 4, Vol 13