• (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

• (with Bret Benesh, Jamylle Carter, Doug Crabill, Jack Good, Michael Smith, Jennifer Travis, and Mark Daniel Ward) The Periodicity of Nim-Sequences in Two-Element Subtraction Games, Vol 20

• 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 Grant Fickes) Recurrence Ranks and Moment Sequences, Vol 21A

• (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 Alyssa Epstein, Anand Hemmandy, Steven J. Miller, Eyvindur Palsson, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu) On Algorithms to Calculate Integer Complexity, Vol 19

• (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

• (with Bret Benesh, Jamylle Carter, Deidra Coleman, Jack Good, Michael Smith, Jennifer Travis, and Mark Daniel Ward) The Periodicity of Nim-Sequences in Two-Element Subtraction Games, Vol 20

• 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 Pedro A. García-Sánchez) Numerical Semigroups With Embedding Dimension Three and Minimal Catenary Degree, Vol 20

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

• (with Tej Bade, Antoine Labelle, and Deyaun Li) Ulam Sets in New Settings, Vol 20

• (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 Julien Moncel and Aline Parreau) Connected Subtraction Games on Subdivided Stars, Vol 19

• (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 Saraswati Nanoti and Amitabha Tripathi) Extensions of Midy's Theorem for Periodic Decimals, Vol 21

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

• (with Anupam Saikia) Families of Non-congruent Numbers With Arbitrarily Many Pairs of Prime Factors, Vol 20

• (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

• (with James A. Sellers) New Congruences for 3-regular Partitions With Designated Summands, Vol 20a

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

• (with Louis W. Shapiro and Leon C. Woodson) A Bijection Between the Triangulations of Convex Polygons and Ordered Trees, Vol 20

• (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

• On the X--coordinates of Pell Equations that are Products of Two Padovan Numbers, Vol 20

• 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

• (with Jeremiah Bartz and Joel Iiams) Almost Gap Balancing Numbers, Vol 18

• 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
• The Structure of Zeckendorf Expansions, Vol 21
• Substitution Invariant Sturmian Words and Binary Trees, Vol 18A
• The Sum of Digits Function of the Base Phi Expansion of the Natural Numbers, Vol 20

• (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 Nicolas Doyon and Vincent Ouellet) The Limit Distribution of the Middle Prime Factors of an Integer, Vol 19
• (with Nicolas Doyon and William Verreault) Repetitions of Multinomial Coefficients and a Generalization of Singmaster's Conjecture, Vol 21

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

• (with Hazel N. Brenner, Eyvindur A. Palsson, and Steven Senger) Uniqueness of Optimal Point Sets Determining Two Distinct Triangles, Vol 21

• Arithmetic of the Fabius Function, Vol 18

• Will the Real Hardy--Ramanujan Formula Please Stand Up?, Vol 21

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

• 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

• Cycles in the Coprime Hypergraph of Integers, Vol 19

• (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

• (with Josh Hiller and Yeşim Aküzüm) The Adjacency-Pell-Hurwitz Numbers, Vol 18

• Integer Subsets with High Volume and Low Perimeter, Vol 12
• (with Tony Zeng) Maximum Distances in the Four-digit Kaprekar Process, Vol 21

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

• (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 Michael Fisher, Neil McKary, Richard J. Nowakowski, and Paul Ottaway) Atomic Weight Calculus of Spindly Games, Vol 20

• (with AJ Bu) Enumerating Restricted Dyck Paths With Context Free Grammars, Vol 21

• (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 Jean-Marie De Koninck) On the Distance Between Smooth Numbers, Vol 11
• (with Jean-Marie De Koninck and Vincent Ouellet) The Limit Distribution of the Middle Prime Factors of an Integer, Vol 19
• (with Jean-Marie de Koninck and William Verreault) Repetitions of Multinomial Coefficients and a Generalization of Singmaster's Conjecture, Vol 21

• (with Kenneth S. Williams) A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers, Vol 17
• (with Joseph B. Muskat, Lerna Pehlivan, and Kenneth S. Williams) Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms, Vol 19
• (with Zafer Selcuk Aygin, Florian Münkel, Lerna Pehlivan, and Kenneth S. Williams) Representation Numbers of Spinor Regular Ternary Quadratic Forms, Vol 21

• (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)

• (with Yichen Wang) Sums and Convolutions of k-bonacci and k-Lucas Numbers, Vol 21

• 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 Jarosław Grytczuk and Andrzej Ruciński) On Weak Twins and Up-and-down Sub-permutations, Vol 21A

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

• (with Joshua Harrington and Andrew Vincent) Exceptional Totient Numbers, Vol 21

• (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
• Note on a Determinant, Vol 20
• Note on a Determinant (II), Vol 21

• 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 Prasanta Kumar Ray) Analytic Continuation of Apostol-Vu Multiple Balancing Zeta Functions, Vol 20a

• (with Ashley Armbruster, Grace Barger, Sofya Bykova, Emily Eckard, Joshua Harrington, Yewen Sun, and Tony W. H. Wong) On Binomial Coefficients Associated With Sierpiński and Riesel Numbers, Vol 21

• (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 Amitabha Tripathi) On the Two-color Rado Number for \(x_1+ax_2-x_3=c\), Vol 20

• (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 Ashely Armbruster, Grace Barger, Sofya Bykova, Tyler Dvoracheck, Joshua Harrington, Yewen Sun, and Tony W. H. Wong) On Binomial Coefficients Associated With Sierpiński and Riesel Numbers, Vol 21

• (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

• (with Vajresh Balaji, Anne Marie Loftin, Solomon Mcharo, Alex Rice, and Bineyam Tsegaye) Lattice Configurations Determining Few Distances, Vol 20

• 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 Ethan Berkove and Michael Schulman) The 4-Color Cubes Puzzle, Vol 18

• (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 Katie Ansaldi, Jessica Hamm, Anisah Nu'Man, Nathan Warnberg, and Michael Young) Rainbow Numbers of \(\mathbb{Z}_n\) for \(a_1x_1+a_2x_2+a_3x_3 =b\), Vol 20

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

• Applying Modular Arithmetic to Diophantine Equations, Vol 18

• (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
• An Adaptive Upper Bound on the Ramsey Numbers \(R(3,\dots,3)\), Vol 20

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

• (with Amitabha Tripathi) On the Nested Local Postage Stamp Problem, Vol 18
• (with Amitabha Tripathi) A Characterization of the Sum and Integral Sum Labellings of Some Classes of Graphs, Vol 20
• (with Amitabha Tripathi) A Note on a Generalization of Fundamental Gaps in Numerical Semigroups, Vol 20
• (with Amitabha Tripathi) On Numerical Semigroups Generated by Primitive Pythagorean Triplets, Vol 20

• (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
• Harmonic Numbers and the Prime Counting Function, Vol 21

• (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

• (with Carrie E. Finch-Smith and Margaret G. Kallus) Ruth-Aaron Pairs Containing Riesel or Sierpiński Numbers, Vol 18

• 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 Katherine Cordwell, Anand Hemmandy, Steven J. Miller, Eyvindur Palsson, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu) On Algorithms to Calculate Integer Complexity, Vol 19

• (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

• (with Jarosław Grytczuk) Distance Graphs and Arithmetic Progressions, Vol 21A

• 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 Cooper O'Kuhn) The Mondrian Puzzle: A Bound Concerning the M(n)=0 Case, Vol 21

• (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

• A Note on the Permutation Behaviour of the Polynomial g_n,q, Vol 19

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

• (with Joshu Cooper) Recurrence Ranks and Moment Sequences, Vol 21A

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

• Practical Aspects of Testing the Irreducibility of the Non-reciprocal Part of a 0,1-polynomial, Vol 20a
• (with Jacob Juillerat) Consecutive Primes Which Are Widely Digitally Delicate, Vol 21A

• (with Martin Mačaj) On a Conjecture of Victor Guo, Vol 20

• (with Lenny Jones) On the Irreducibility of {-1,0,1}-Quadrinomials, Vol 6
• (with Elliot R. Emadian and Margaret G. Kallus) Ruth-Aaron Pairs Containing Riesel or Sierpiński Numbers, Vol 18

• (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

• (with Dylan King, Steven J. Miller, Eyvindur A. Palsson, and Catherine Wahlenmayer) Crescent Configurations in Normed Spaces, Vol 20

• (with Neil McKay, Richard J. Nowakowski, Paul Ottaway, and Carlos Pereira dos Santos) Atomic Weight Calculus of Spindly Games, Vol 20

• Norm Euclidean Quaternionic Orders, Vol 11

• (with Camron Withrow) Primes p Having at Most One Divisor of p-1 of a Specified Multiplicative Order, Vol 19

• (with Cihan Karabulut and Elkin Quintero Vanegas) The Distribution of the Generalized Greatest Common Divisor and Visibility of Lattice Points, Vol 20

• (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 Matthew Blair and Antara Mukherjee) Geometric Patterns in The Determinant Hosoya Triangle, Vol 21

• (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 John Asplund) Minimum Coprime Labelings for Operations on Graphs, Vol 19

• (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
• A New Approach to the Hofstadter Q-Recurrence, Vol 20a

• 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 Urban Larsson) Games on Arbitrarily Large Rats and Playability, Vol 19

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

• Dirichlet Series With Trigonometric Coefficients, Vol 21

• (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 Tom C. Brown) On the Averages of Factors of an Infinite Word on a Finite Set of Integers, Vol 20

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

• (with Katalin Gyarmati) On Multiplicative Bases of Finite Sets, Vol 20

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

• (with Joe Buhler, Ron Graham, Jonathan Kariv, James R. Roche, Mark Tiefenbruck, Clint Van Alten, and Dmytro Yeroshkin) On Levine's Notorious Hat Puzzle, Vol 21A

• (with Oriol Serra and Christoph Spiegel) Additive Volume of Sets Contained in Few Arithmetic Progressions, Vol 19

• (with José Othon Lopes and Diego Marques) On Congruences Involving Some Fibonomial Coefficients, Vol 19

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

• A Note on Fibonacci Numbers of Even Index, Vol 18

• Sums of Cubes over Odd-Index Fibonacci Numbers, Vol 18
• (with Zivorad Tomovski) Generalized Euler-Genocchi Polynomials and Lucas Numbers, Vol 20
• (with Taras Goy) Chebyshev-Fibonacci Polynomial Relations Using Generating Functions, Vol 21

• (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

G

• (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

• On the Prime Factors of Φ_p(M), Vol 21

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

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

• (with Liangyi Zhao) Primes p ≡ 1 mod d and a^(p-1)/d ≡ 1 mod p, Vol 19

• (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

• 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 Helena Martín Cruz) Numerical Semigroups With Embedding Dimension Three and Minimal Catenary Degree, Vol 20

• (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 Michael T. Urbanski) Index Divisibility in the Orbit of 0 for Integral Polynomials, Vol 20

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

• A Generalization of the Kővári--Sós--Turán Theorem, Vol 21

• (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
• (with Jessica A. Tomasko) Fibonacci Colored Compositions and Applications, Vol 21

• 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
• Inversion of Two Cyclotomic Matrices, Vol 19
• On the Equality of Dedekind Sums, Vol 21

• Communal Partitions of Integers, Vol 11
• Compositions of Integers With Bounded Parts, Vol 14
• (with Joshua Wagner) Arithmetical Structures on Paths With a Doubled Edge, Vol 20

• Cycles in Repeated Exponentiation Modulo pⁿ, Vol 13

• (with Christopher O'Neill, Vadim Ponomarenko, and Benjamin Sepanski) Augmented Hilbert Series of Numerical Semigroups, Vol 19

• (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

• (with José Plínio O. Santos) A Family of Partitions Equinumerous With the Set of Nodes of a Family of Trees, Vol 20

• Edge Growth in Graph Squares, Vol 13

• (with Rosie Y. Zhao) Arithmetic Subsequences in a Random Ordering of an Additive Set, Vol 21

• 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) When Almost All Sets Are Difference Dominated in Z/nZ, Vol 17

• (with Maria Axenovich, Bernard Lidický, Ryan R. Martin, David Offner, John Talbot, and Michael Young) Polychromatic Colorings on the Integers, Vol 19

• (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 Janitzio Mejía Huguet and Florian Luca) On Sierpiński Numbers of the Form φ(N)/2ⁿ, Vol 16

• An Observation of Rankin on Hankel Determinants, Vol 19

• (with Bret Benesh, Jamylle Carter, Doug Crabill, Deidra Coleman, Michael Smith, Jennifer Travis, and Mark Daniel Ward) The Periodicity of Nim-Sequences in Two-Element Subtraction Games, Vol 20

• (with Aninda Chakraborty) Richness of Arithmetic Progressions in Commutative Semigroups, Vol 20
• Cartesian Products of Some Combinatorially Rich Sets, Vol 20
• (with Subhajit Jana) A Combinatorial Viewpoint on Preserving Notions of Largeness and an Abstract Rado Theorem, Vol 21

• On a Generalized Family of Euler-Genocchi Polynomials, Vol 21

• (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 Robert Frontczak) Chebyshev-Fibonacci Polynomial Relations Using Generating Functions, Vol 21

• On the Growth of a van der Waerden-like Function, Vol 6
• (with Boris Alexeev and Jacob Fox), On Minimimal Colorings without Monochromatic Solutions to a Linear Equation, Vol 7(2)
• (with Fan Chung) Universal Juggling Cycles, 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
• (with Joe Buhler, Chris Freiling, Jonathan Kariv, James R. Roche, Mark Tiefenbruck, Clint Van Alten, and Dmytro Yeroshkin) On Levine's Notorious Hat Puzzle, Vol 21A

• (with Hester Graves) Brazilian Primes Which Are Also Sophie Germain Primes, Vol 20

• (with Jon Grantham) Brazilian Primes Which Are Also Sophie Germain Primes, Vol 20

• (with Andrew P. Dove, Ross J. Kang, and Jean-Sébastien Sereni) Supersaturation in the Boolean Lattice, Vol 14A
• Spanning Trees and Domination in Hypercubes, Vol 21A

• On Binomial Coefficients Modulo Squares of Primes, Vol 19

• (with Christian Wolird) Cyclotomic Points and Algebraic Properties of Polygon Diagonals, Vol 21

• (with C. S. Owens) On Bounds for Two Davenport-type Constants, Vol 13
• (with Rene Ardila, Christine Caples, Laura L. Hall-Seelig, Jill E. Jordan, Karen T. Kohl, and Thomas P. Wakefield) Values of Weighted Davenport Constants, Vol 21

• (with Itziar Bardaji) Long Arithmetic Progressions in Small Sumsets, Vol 10
• (with Chunlin Wang and Kevin Zhao) The Structure of a Sequence With Prescribed Zero-sum Subsequences, Vol 20

• (with Andrzej Dudek and Andrzej Ruciński) On Weak Twins and Up-and-down Sub-permutations, Vol 21A
• (with Sohail Farhangi) Distance Graphs and Arithmetic Progressions, Vol 21A

• (with Joy P. Ascaño) The Bi-periodic Fibonacci-Horadam Matrix, Vol 21

• (with Andrew Ledoan) On the Theorem of N. P. Romanoff, Vol 20

• (with aBa Mbirika) An Euler Phi Function for the Eisenstein Integers and Some Applications, Vol 20

• (with Andreas Weingartner) The Practicality of Shifted Primes, Vol 18

• Short Proofs of Euler-type Identities for Compositions, Vol 19

• (with Silvia Heubach, Hhan Bao Ho, and Nikolay Chikin) Slow k-Nim, Vol 20
• (with Nikolay Chikin, Konstantin Knop, Mike Paterson, and Michael Vyalyi) More about Exact Slow k-Nim, Vol 21

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

• (with Jeff Rushall and Viola McCarty) On the Complete Tree of Primitive Pythagorean Quadruples, Vol 20

• (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

• Bernoulli-Stirling Numbers, Vol 20
• Congruences for Certain Lacunary Sums of Products of Binomial Coefficients, Vol 21

• (with Katalin Fried) On Multiplicative Bases of Finite Sets, Vol 20

H

• (with H. Belbachir) Some Explicit Formulas for Euler-Genocchi Polynomials, Vol 19

• The Factorial Moments of the Generalized Bernoulli-Fibonacci Distribution, Vol 21

• (with Rene Ardila, Christine Caples, Helen G. Grundman, Jill E. Jordan, Karen T. Kohl, and Thomas P. Wakefield) Values of Weighted Davenport Constants, Vol 21

• (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 D. Dakota Blair and Kevin O'Bryant) Representing Ordinal Numbers with Arithmetically Interesting Sets of Real Numbers, Vol 20a

• (with Katie Ansaldi, Houssein El Turkey, Anisah Nu'Man, Nathan Warnberg, and Michael Young) Rainbow Numbers of \(\mathbb{Z}_n\) for \(a_1x_1+a_2x_2+a_3x_3 =b\), Vol 20

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

• (with Ariane M. Masuda, Satyanand Singh, and Johann Thiel) Maximal Entries of Elements in Certain Matrix Monoids, Vol 20

• (with S.C. Locke) Amalgamation Nim, Vol 21

• (with Hauke Nienborg) Rook Domination on Hexagonal Hexagon Boards, Vol 21A

• (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 Lenny Jones) An Equation Involving Arithmetic Functions and Riesel Numbers, Vol 18
• (with Ashley Armbruster, Grace Barger, Sofya Bykova, Tyler Dvoracheck, Emily Eckard, Yewen Sun, and Tony W. H. Wong) On Binomial Coefficients Associated With Sierpiński and Riesel Numbers, Vol 21
• (with Breille Duncan and Andrew Vincent) Exceptional Totient Numbers, Vol 21

• (with Mohamed Omar) Lattice Point Visibility on Power Functions, Vol 18

• On the Equation φ(n+k)=2φ(n), Vol 21

• (with Christian Axler) Carleman's Inequality Over Prime Numbers, Vol 21

• (with Jorma K. Merikoski and Timo Tossavainen) Complete Additivity, Complete Multiplicativity, and Leibniz-additivity on Rationals, Vol 21

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

• (with Urban Larsson) Permutations of the Natural Numbers with Prescribed Difference Multisets, Vol 6

• An Improved Exponential Upper Bound for the Erdős-Ginzburg-Ziv Constant, Vol 20

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

• (with Markus Neuhauser) Polynomials Related to Powers of the Dedekind Eta Function, Vol 18

• (with Katherine Cordwell, Alyssa Epstein, Steven J. Miller, Eyvindur Palsson, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu) On Algorithms to Calculate Integer Complexity, Vol 19

• (with Ryan B. Hayward) 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 Ana Cecilia García Lomelí) Powers of Two as Sums of Two Padovan Numbers, Vol 18

• Robin's Inequality for New Families of Integers, Vol 18

• (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 Vladimir Gurvich, Hhan Bao Ho, and Nikolay Chikin) Slow k-Nim, Vol 20

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

• Evaluationally Coprime Linear Polynomials, Vol 16
• Cardinality of a Floor Function Set, Vol 19

• (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 Reed Phillips) The Number of Optimal Strategies in the Penney-Ante Game, Vol 21

• (with Yeşim Aküzüm and Ömür Deveci) The Adjacency-Pell-Hurwitz Numbers, Vol 18
• (with Mark Budden and Andrew Penland) Constructive Methods in Gallai-Ramsey Theory for Hypergraphs, Vol 20a
• (with Mark Budden, Tommy Meek, and Andrew Penland) Algebraic Properties of a Hypergraph Lifting Map, Vol 21

• (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 Dona Strauss) Some New Examples of Infinite Image Partition Regular Matrices, Vol 19
• (with Dona Strauss) Strongly Image Partition Regular Matrices, Vol 21A

• (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
• (with Vladimir Gurvich, Silvia Heubach, and Nikolay Chikin) Slow k-Nim, Vol 20

• 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
• Introducing Shift-constrained Rado Numbers, Vol 21A

• (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 Jonathan H. Horrocks) Sprague-Grundy Values of Modular Nim, Vol 19

• (with David G. C. Horrocks) Sprague-Grundy Values of Modular Nim, Vol 19

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

• (with Matthias Beck and Matthias Schymura) Lonely Runner Polyhedra, Vol 19

• (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

• An Alternative Proof of Melham's Identities, Vol 19

• (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

• A Note on the Converse of Wolstenholme's Theorem, Vol 18

• (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
• When the Small Divisors of a Natural Number Are in Arithmetic Progression, Vol 18

• (with Paul Jenkins and Merrill Warnick) Divisibility Properties of Coefficients of Modular Functions in Genus Zero Levels, Vol 19

• (with Jeremiah Bartz and Bruce Dearden) Almost Gap Balancing Numbers, Vol 18

• 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 C. E. Larson) A Graph Theoretic Formula for the Number of Primes π(n), Vol 20

• (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 Sayan Goswami) A Combinatorial Viewpoint on Preserving Notions of Largeness and an Abstract Rado Theorem, Vol 21

• (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 Victoria Iba and Merrill Warnick) Divisibility Properties of Coefficients of Modular Functions in Genus Zero Levels, Vol 19

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

• Two New Explicit Formulas for the Bernoulli Numbers, Vol 20
• A Combinatorial Identity for the Sum of Divisors Function Involving \(p_{r}(n)\), Vol 20
• Some Nested Sums in Terms of the Riemann Zeta Function and the Dirichlet Beta Function, Vol 21

• (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 Joshua Harrington) An Equation Involving Arithmetic Functions and Riesel Numbers, Vol 18

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

• (with Rene Ardila, Christine Caples, Helen G. Grundman, Laura L. Hall-Seelig, Karen T. Kohl, and Thomas P. Wakefield) Values of Weighted Davenport Constants, Vol 21

• (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 Michael Filaseta) Consecutive Primes Which Are Widely Digitally Delicate, Vol 21A

• (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
• On Upper Bounds for the Count of Elite Primes, Vol 20

• (with Shiv Datt Kumar and Dustin Moody) Elliptic Curves Arising From the Triangular Numbers, Vol 19
• (with Dustin Moody) On the Family of Elliptic Curves X + 1/X + Y + 1/Y + t = 0, Vol 21

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

• (with Benedict Vasco Normenyo and Alain Togbé) Repdigits as Sums of Two Fibonacci Numbers and Two Lucas Numbers, Vol 19

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

• (with Meysam Arab) A Generalized Binet Formula That Counts the Tilings of a (2 x n)-board, Vol 18

• (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

• (with Elliot R. Emadian and Carrie E. Finch-Smith) Ruth-Aaron Pairs Containing Riesel or Sierpiński Numbers, Vol 18

• On the Symmetry Graph of Prime Numbers, Vol 21

• 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 Richard M. Low, Arman Kapbasov, Stephen C. Locke, and W. H. Chan) A Codex of N- and P-positions in Harary's `Caterpillar Game', Vol 21

• (with Richard M. Low, Ardak Kapbasov, Stephen C. Locke, and W. H. Chan) A Codex of N- and P-positions in Harary's `Caterpillar Game', Vol 21

• (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 Jorge Flórez and Elkin Quintero Vanegas) The Distribution of the Generalized Greatest Common Divisor and Visibility of Lattice Points, Vol 20

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

• (with Joe Buhler, Chris Freiling, Ron Graham, James R. Roche, Mark Tiefenbruck, Clint Van Alten, and Dmytro Yeroshkin) On Levine's Notorious Hat Puzzle, Vol 21A

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

• (with K. Srilakshmi) Some Congruences for (s,t)-regular Bipartitions Modulo t, Vol 21

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

• Diophantine Equations Coming From Binomial Near-collisions, Vol 20

• (with Nayandeep Deka Baruah) A Note on Some Recent Results of Da Silva and Sellers on Congruences for k-regular Partitions With Designated Summands, Vol 20

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

• (with Narad Rampersad) The Abelian Complexity of Infinite Words and the Frobenius Problem, Vol 21

• 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
• (with Emily E. Anible) Colored Partitions and the Hooklength Formula: Partition Statistic Identities, Vol 20a
• A Note on Partitions With Short Profile Steps, Vol 20

• 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 Jonathan Sondow) The Denominators of Power Sums of Arithmetic Progressions, Vol 18
• (with Jonathan Sondow) On Carmichael and Polygonal Numbers, Bernoulli Polynomials, and Sums of Base-p Digits, Vol 21

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

• (with 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• 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

• (with Alexandra Walsh) Elliptic Fermat Numbers and Elliptic Divisibility Sequences, Vol 20

• (with Nilotpal Kanti Sinha) Binomial Probability of Prime Number of Successes, Vol 20

• (with Savana Ammons, Laura Seaberg, and Holly Swisher) An Analogue of k-marked Durfee Symbols for Strongly Unimodal Sequences, Vol 21

• 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 Sara Fish, Steven J. Miller, Eyvindur A. Palsson, and Catherine Wahlenmayer) Crescent Configurations in Normed Spaces, Vol 20

• Lower Bounds for Numbers With Three Prime Factors, Vol 19

• (with Jean-Luc Baril and Armen Petrossian) Motzkin Paths With a Restricted First Return Decomposition, Vol 19

• (with Mario Weitzer) 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

• (with Csaba Sándor) On the Structure of Sets Which Have Coinciding Representation Functions, Vol 19

• 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 Melissa Piddle and Kathryn E. Temple) Estimating the Density of the Abundant Numbers, Vol 19

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

• (with Nikolay Chikin, Vladimir Gurvich, Mike Paterson, and Michael Vyalyi) More about Exact Slow k-Nim, Vol 21

• (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

• (with Rene Ardila, Christine Caples, Helen G. Grundman, Laura L. Hall-Seelig, Jill E. Jordan, and Thomas P. Wakefield) Values of Weighted Davenport Constants, Vol 21

• 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
• (with Vichian Laohakosol and Jittinart Rattanamoong) Complex Cantor Series, Cantor Products and Their Independence, Vol 19
• (with Rusen Li) Infinite Series Containing Generalized q-harmonic Numbers, Vol 21

• 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
• Gibonacci Extensions of a Lucas Delight, Vol 19

• (with Brian Pigott) Uniqueness for Sums of Nonvanishing Squares, Vol 20

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

• Generalized Cosecant Numbers and the Hurwitz Zeta Function, Vol 19
• Alternative Formulations of the Generalized Cosecand and Secant Numbers, Vol 21

• (with Eric Rowland and Reem Yassawi) Lucas Congruences for the Apéry Numbers Modulo p², Vol 21

• (with Howard Skogman) On Ozanam's Rule, Vol 18

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

• 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

• (with Eric Sundberg) A Maker--Breaker Game on the Boolean Hypercube With Subcubes as Winning Sets, 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 Kamal Lochan Patra and Binod Kumar Sahoo) Proper Divisor Graph of a Positive Integer, Vol 21

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

• (with Abhishek Juyal and Dustin Moody) Elliptic Curves Arising From the Triangular Numbers, Vol 19

• 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
• Kushwaha, Seema
  • Pell Equation: A Revisit through Periodic \(\mathcal{F}_{2^{{\ell}}}\)-Continued Fractions, Vol 20a

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

• On Representations of the Riemann Zeta Function, Its Square and of the Positive Integers, Vol 21

L

• (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 Tej Bade, Kelly Cui, and Deyaun Li) Ulam Sets in New Settings, Vol 20

• (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 Linli Wei) The Mean Value of a Hybrid Arithmetic Function Associated to Fourier Coefficieints of Cusp Forms, Vol 19

• (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 Takao Komatsu and Jittinart Rattanamoong) Complex Cantor Series, Cantor Products and Their Independence, Vol 19

• (with Christophe Reutenauer) On the Frobenius Conjecture, Vol 21

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

• (with R. Jacobs) A Graph Theoretic Formula for the Number of Primes π(n), Vol 20

• Power Maps in Finite Groups, Vol 19

• (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 Aviezri S. Fraenkel) Games on Arbitrarily Large Rats and Playability, Vol 19

• (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)

• On the Number of Ordered Factorizations of an Integer, Vol 20

• (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
• (with Chadwick Gugg) On the Theorem of N. P. Romanoff, Vol 20

• 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
• (with José A. Adell) Explicit Expressions for a Certain Subset of Appell Polynomials: A Probabilistic Perspective, Vol 21

• 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
• On p-adic Properties of Some Fibonacci and Lucas Numbers, Vol 19
• A Note on a Subtraction--Transfer Game, Vol 20
• On Some p-adic Properties and Supercongruences of Delannoy and Schröder Numbers, Vol 21

• (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 Karl Michael Schmidt) Divisor Functions and the Number of Sum Systems, Vol 20

• (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

• Lower and Upper Bounds On Irregularities of Distribution, Vol 20

• (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 Tej Bade, Kelly Cui, and Antoine Labelle) Ulam Sets in New Settings, Vol 20

• (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 Min Zhang) On a Diophantine Equation With Three Prime Variables, Vol 19

• (with Takao Komatsu) Infinite Series Containing Generalized q-harmonic Numbers, Vol 21
• Sums over Primes, Vol 21

• (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

• Linear Combinations of Two Polygonal Numbers That Take Infinitely Often a Square Value, Vol 20

• (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

• Mertens' Prime Product Formula, Dissected, Vol 21A

• (with Maria Axenovich, John Goldwasser, Ryan R. Martin, David Offner, John Talbot, and Michael Young) Polychromatic Colorings on the Integers, Vol 19

• (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 Moa Apagodu) Congruence Properties for the Trinomial Coefficients, Vol 20

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

• (with Noga Alon, Ryan Alweiss, Anders Martinsson, and Shyam Narayanan) Arithmetic Progressions in Sumsets of Sparse Sets, Vol 21A

• 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 Richard M. Low, Ardak Kapbasov, Arman Kapbasov, and W. H. Chan) A Codex of N- and P-positions in Harary's `Caterpillar Game', Vol 21
• (with B. Handley) Amalgamation Nim, Vol 21

• (with Carla D. Savage) Generalizing the Combinatorics of Binomial Coefficients Via l-Nomials, Vol 10
• (with T. S. Michael) The Combinatorics of Evenly Spaced Binomial Coefficients, Vol 18

• (with Vajresh Balaji, Olivia Edwards, Solomon Mcharo, Alex Rice, and Bineyam Tsegaye) Lattice Configurations Determining Few Distances, Vol 20

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

• Generalizations of Wolstenholme's Theorem Via the p-adic Logarithm, Vol 20

• (with Santos Hernández Hernández) Powers of Two as Sums of Two Padovan Numbers, Vol 18

• (with Gérsica Freitas and Diego Marques) On Congruences Involving Some Fibonomial Coefficients, Vol 19

• (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 Ardak Kapbasov, Arman Kapbasov, Stephen C. Locke, and W. H. Chan) A Codex of N- and P-positions in Harary's `Caterpillar Game', Vol 21

• (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 Hùng Việt Chu, Steven J. Miller, and Lily Shao) Infinite Families of Partitions Into MSTD Subsets, Vol 19
• Chu, Hùng Việt
  • (with Hùng Việt, Steven J. Miller, and Lily Shao) Generalizations of a Curious Family of MSTD Sets Hidden by Interior Blocks, Vol 20a

• (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

M

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

• (with Kevin J. McGown, Devon Rhodes, and Mathias Wanner) On the Number of Primes for Which a Polynomial is Eisenstein, Vol 18

• (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 Slobodan Filipovski) On a Conjecture of Victor Guo, Vol 20

• (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 Brian Nugent and Leanne Robertson) Walking to Infinity Along Gaussian Lines, Vol 21

• (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

• Simultaneous Approximations to ζ(2) and ζ(4), Vol 18

• (with Thomas Stoll and Pierre-Adrien Tahay) Discrete Correlations of Order 2 of Generalized Golay-Shapiro Sequences: A Combinatorial Approach, Vol 21

• 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 Gérsica Freitas and José Othon Lopes) On Congruences Involving Some Fibonomial Coefficients, Vol 19

• (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
• (with Michael A. Bennett and Kevin O'Bryant) Multidimensional Padé Approximation of Binomial Functions: Equalities, Vol 21A

• 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 Maria Axenovich, John Goldwasser, Bernard Lidický, David Offner, John Talbot, and Michael Young) Polychromatic Colorings on the Integers, Vol 19

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

• (with Helmut Prodinger) Complementary Families of the Fibonacci-Lucas Relations, Vol 19

• (with Noga Alon, Ryan Alweiss, Yang P. Liu, and Shyam Narayanan) Arithmetic Progressions in Sumsets of Sparse Sets, Vol 21A

• (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 Sandie Han, Satyanand Singh, and Johann Thiel) Maximal Entries of Elements in Certain Matrix Monoids, Vol 20

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

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

• Mixed Sums of Triangular Numbers and Certain Binary Quadratic Forms, Vol 15
• On Certain Quaternary Quadratic Forms, Vol 18

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

• On a Special Congruence of Carlitz, Vol 6

• (with Zachary Chaney, Jed Menard, and Timothy Trujillo) Triangular Ramsey Numbers, Vol 19

• 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 Josep M. Brunat) Steinhaus Triangles Generated by Vectors of the Canonical Basis, Vol 18

• (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 Emily Gullerud) An Euler Phi Function for the Eisenstein Integers and Some Applications, Vol 20

• (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 Jeff Rushall and Marcela Guttierez) On the Complete Tree of Primitive Pythagorean Quadruples, Vol 20

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

• (with Brian McDonald, Jonathan Passant, and Anurag Sahay) Distinct Distances From Points on a Circle to a Generic Set, Vol 21

• (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 Alex McDonald, Jonathan Passant, and Anurag Sahay) Distinct Distances From Points on a Circle to a Generic Set, Vol 21

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

• (with Andrew V. Sills) Combinatorics of Ramanujan-Slater Type Identities, Volume 9 Supplement

• (with Shilin Ma, Devon Rhodes, and Mathias Wanner) On the Number of Primes for Which a Polynomial is Eisenstein, Vol 18
• (with Jongwoo Choi) Counting Eisenstein Polynomials Satisfying a Condition From Genus Theory, Vol 20

• (with Vajresh Balaji, Olivia Edwards, Anne Marie Loftin, Alex Rice, and Bineyam Tsegaye) Lattice Configurations Determining Few Distances, Vol 20

• 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 Michael Fisher, Richard J. Nowakowski, Paul Ottaway, and Carlos Pereira dos Santos) Atomic Weight Calculus of Spindly Games, Vol 20

• (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 Mark Budden, Josh Hiller, and Andrew Penland) Algebraic Properties of a Hypergraph Lifting Map, Vol 21

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

• Erdős-Kac Theorem for Smooth and Ultra-smooth Integers, Vol 20

• 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

• (with Zachary Chaney, Connor Mattes, and Timothy Trujillo) Triangular Ramsey Numbers, Vol 19

• 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
• Finite Searches, Chowla's Cosine Problem, and Large Newman Polynomials, Vol 19

• (with Pentti Haukkanen and Timo Tossavainen) Complete Additivity, Complete Multiplicativity, and Leibniz-additivity on Rationals, Vol 21

• (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 José L. Ramírez and Chen-Ying Wang) On Generalized Derangements and Some Orthogonal Polynomials, Vol 19

• Particular Pell-Fermat Equations Revisited, Vol 21

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

• (with Nicholas A. Loehr) The Combinatorics of Evenly Spaced Binomial Coefficients, Vol 18

• (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
• (with Meriem Tiachachat) A New Class of the r-Stirling Numbers and the Generalized Bernoulli Polynomials, Vol 20

• 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 Carsten Peterson, Carsten Sprunger, and Roger Van Peski) The Bidirectional Ballot Polytope, Vol 18
• (with Katherine Cordwell, Alyssa Epstein, Anand Hemmandy, Eyvindur Palsson, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu) On Algorithms to Calculate Integer Complexity, Vol 19
• (with Hùng Việt Chu, Noah Luntzlara, and Lily Shao) Infinite Families of Partitions Into MSTD Subsets, Vol 19
• (with Hùng Việt Chu, Noah Luntzlara, and Lily Shao) Generalizations of a Curious Family of MSTD Sets Hidden by Interior Blocks, Vol 20a
• (with Sara Fish, Dylan King, Eyvindur A. Palsson, and Catherine Wahlenmayer) Crescent Configurations in Normed Spaces, Vol 20

• (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 Shunsuke Nakamura and Yushi Nakaya) Grundy Numbers of Impartial Chocolate Bar Games, Vol 20

• (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

• Szemerédi-Trotter Type Results in Arbitrary Finite Fields, Vol 20

• (with Shalosh B. Ekhad) A WZ Proof of a "Curious" Identity, Vol 3

• Finite Sums of Arithmetic Progressions, Vol 21
• (with Tom C. Brown) Two Extensions of Hilbert's Cube Lemma, Vol 21A

• (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 Antoine Dailly and Aline Parreau) Connected Subtraction Games on Subdivided Stars, Vol 19

• (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 Abhishek Juyal) On the Family of Elliptic Curves X + 1/X + Y + 1/Y + t = 0, Vol 21

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

• (with Brian D. Sittinger) The Unit Structure in a Quotient Ring of a Quadratic Number Field, Vol 19

• (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 László Tóth) Unitary Cyclotomic Polynomials, Vol 20

• (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

• On a Certain Inverse Problem for Carousel Numbers, Vol 20

• (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

• (with David John Platt) Robin's Inequality for 20-free Integers, Vol 21

• (with 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• 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 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• (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
• (with Matthew Blair and Rigoberto Flórez) Geometric Patterns in The Determinant Hosoya Triangle, Vol 21

• (with A. K. Bhuniya) A Combinatorial Proof of an Ordered-partition Expansion of Determinants Given by Insko, Johnson and Sullivan, Vol 19

• (with Richard Nowakowski) The Self-Referential Impartial Game Minnie, Vol 20

• 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
• Some q-binomial Identities Involving the Generalized q-Fibonacci Numbers, Vol 18

• A Note on Diophantine Fractals for α--Lüroth systems, Vol 11b

• (with Zafer Selcuk Aygin, Greg Doyle, Lerna Pehlivan, and Kenneth S. Williams) Representation Numbers of Spinor Regular Ternary Quadratic Forms, Vol 21

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

• (with Greg Doyle, Lerna Pehlivan, and Kenneth S. Williams) Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms, Vol 19

• The Size of the Largest Part of Random Plane Partitions of Large Integers, Vol 6

• (with Calvin Beideman and Matthew Bowen) The Sprague-Grundy Function for Some Selective Compound Games, Vol 20

• (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 Horst Alzer) Some Identities Involving Central Binomial Coefficients and Catalan Numbers, Vol 20

• (with D. S. Gireesh) Congruences for 3-Regular Partitions With Designated Summands, Vol 16
• (with Harishkumar T and Y. Veeranna) Some Congruences for (2,5)-regular Cubic Partition Pairs, Vol 20
• (with Harishkumar T and T. N. Veeranayaka) On (4, 5)-regular Partitions With Odd Parts Overlined, Vol 20

• (with Eric Sundberg) A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation, Vol 19

• (with Ryohei Miyadera) Impartial Chocolate Bar Games, Vol 15
• (with Ryohei Miyadera and Yushi Nakaya) Grundy Numbers of Impartial Chocolate Bar Games, Vol 20

• (with Taizo Sadahiro) A β-Expansion Associated to Sturmian Sequences, Vol 12

• (with Ryohei Miyadera and Shunsuke Nakamura) Grundy Numbers of Impartial Chocolate Bar Games, Vol 20

• (with Sakshi Dang and Amitabha Tripathi) Extensions of Midy's Theorem for Periodic Decimals, Vol 21

• 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

• (with Noga Alon, Ryan Alweiss, Yang P. Liu, and Anders Martinsson) Arithmetic Progressions in Sumsets of Sparse Sets, Vol 21A

• 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
• Alternate Minimization and Doubly Stochastic Matrices, Vol 20a
• Curious Convergent Series of Integers with Missing Digits, Vol 21A

• (with Anne Bertrand-Mathis) Perron Numbers and Positive Matrices of Minimal Order, Vol 21

• (with Carl Pomerance) Density of Singular Pairs of Integers, Vol 18

• Universal Sets and the Vector Game, Vol 8(1)

• Tetrahedron Trinomial Coefficient Transform, Vol 19

• (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 Bernhard Heim) Polynomials Related to Powers of the Dedekind Eta Function, Vol 18

• (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

• (with Heiko Harborth) Rook Domination on Hexagonal Hexagon Boards, Vol 21A

• High Degree b-Niven Numbers, Vol 21

• Isosceles Triangles in Q³, Vol 18
• Isomorphism Classes of Distance Graphs in \(\mathbb{Q}^3\), Vol 21

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

• (with Bir Kafle and Alain Togbé) Repdigits as Sums of Two Fibonacci Numbers and Two Lucas Numbers, Vol 19

• (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
• (with Michael Fisher, Neil McKay, Paul Ottaway, and Carlos Pereira dos Santos) Atomic Weight Calculus of Spindly Games, Vol 20
• (with Todd Mullen) The Self-Referential Impartial Game Minnie, Vol 20

• Evaluation of Convolution Sums involving the Sum of Divisors Function for Levels 48 and 64, Vol 17
• Evaluation of Convolution Sums Involving Cubic Divisor Functions for a Class of Levels, Vol 21

• (with Elsa Magness and Leanne Robertson) Walking to Infinity Along Gaussian Lines, Vol 21

• Pattern Occurrence in the Dyadic Expansion of Square Root of Two and an Analysis of Pseudorandom Number Generators, Vol 10

• (with Katie Ansaldi, Houssein El Turkey, Jessica Hamm, Nathan Warnberg, and Michael Young) Rainbow Numbers of \(\mathbb{Z}_n\) for \(a_1x_1+a_2x_2+a_3x_3 =b\), Vol 20

• (with A. Smati) Distribution Laws of Pairs of Divisors, Vol 13
• (with A. Smati) Distribution Laws of Friable Divisors, Vol 20

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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
• (with D. Dakota Blair and Joel David Hamkins) Representing Ordinal Numbers with Arithmetically Interesting Sets of Real Numbers, Vol 20a
• (with Michael A. Bennett and Greg Martin) Multidimensional Padé Approximation of Binomial Functions: Equalities, Vol 21A

• Continued Fractions and Linear Fractional Transformations, Vol 15

• (with Maria Axenovich, John Goldwasser, Bernard Lidický, Ryan R. Martin, John Talbot, and Michael Young) Polychromatic Colorings on the Integers, Vol 19

• (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

• An Identity Involving Binomial Coefficients Equivalent to an Identity of Lagrange, Vol 20

• (with Nayandeep Deka Baruah) Partitions With Designated Summands in Which All Parts Are Odd, Vol 15

• (with Todd Fellman) The Mondrian Puzzle: A Bound Concerning the M(n)=0 Case, Vol 21

• (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 Pamela E. Harris) Lattice Point Visibility on Power Functions, Vol 18

• (with Jacob Hartzer) On the Periodicity of Irreducible Elements in Arithmetical Congruence Monoids, Vol 17
• (with Jeske Glenn, Vadim Ponomarenko, and Benjamin Sepanski) Augmented Hilbert Series of Numerical Semigroups, Vol 19

• (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
• A Vertex and Edge Deletion Game on Graphs, Vol 18

• (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 Michael Fisher, Neil McKary, Richard J. Nowakowski, and Carlos Pereira dos Santos) Atomic Weight Calculus of Spindly Games, Vol 20

• (with Jean-Marie De Koninck and Nicolas Doyon) The Limit Distribution of the Middle Prime Factors of an Integer, Vol 19

• (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 Zdzislaw Trukszyn) Finite Sums of the Floor Functions Series, Vol 20

• (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 Katherine Cordwell, Alyssa Epstein, Anand Hemmandy, Steven J. Miller, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu) On Algorithms to Calculate Integer Complexity, Vol 19
• (with Sara Fish, Dylan King, Steven J. Miller, and Catherine Wahlenmayer) Crescent Configurations in Normed Spaces, Vol 20
• (with Hazel N. Brenner, James S. Depret-Guillaume, and Steven Senger) Uniqueness of Optimal Point Sets Determining Two Distinct Triangles, Vol 21

• (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 Wentao Zhang) Quotients of Hurwitz Primes, Vol 21

• (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

• (with Asim Patra) Appearance of Balancing and Related Number Sequences in Steady State Probabilities of Some Markov Chains, Vol 20a
• (with Sai Gopal Rayaguru) Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits, Vol 21

• 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 Antoine Dailly and Julien Moncel) Connected Subtraction Games on Subdivided Stars, Vol 19

• (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

• (with Alex McDonald, Brian McDonald, and Anurag Sahay) Distinct Distances From Points on a Circle to a Generic Set, Vol 21

• (with Nikolay Chikin, Vladimir Gurvich, Konstantin Knop, and Michael Vyalyi) More about Exact Slow k-Nim, Vol 21

• An Observation on the Extension of Abel's Lemma, Vol 10
• Partitions Related to Positive Definite Binary Quadratic Forms, Vol 19
• A Note on Applications from Extending Abel's Lemma, Vol 20

• (with Gopal Krishna Panda) Appearance of Balancing and Related Number Sequences in Steady State Probabilities of Some Markov Chains, Vol 20a

• (with Hitesh Kumar and Binod Kumar Sahoo) Proper Divisor Graph of a Positive Integer, Vol 21

• (with Swapan Kumar Ghosh) Concerning Partition Regular Matrices, Vol 17
• (with Md. Moid Shaikh) Monochromatic Sums Equal to Products Near Zero, Vol 20

• (with 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• (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 Kenneth S. Williams) Positive-Definite Ternary Quadratic Forms Which are (4,1)-universal and (4,3)-universal, Vol 18
• (with Greg Doyle, Joseph B. Muskat, and Kenneth S. Williams) Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms, Vol 19
• (with Zafer Selcuk Aygin, Greg Doyle, Florian Münkel, and Kenneth S. Williams) Representation Numbers of Spinor Regular Ternary Quadratic Forms, Vol 21

• (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 Yong Zhang) On Certain Diophantine Equations Involving Triangular Numbers, Vol 21

• (with Mark Budden and Josh Hiller) Constructive Methods in Gallai-Ramsey Theory for Hypergraphs, Vol 20a
• (with Mark Budden, Josh Hiller, and Tommy Meek) Algebraic Properties of a Hypergraph Lifting Map, Vol 21

• (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 Steven J. Miller, Carsten Sprunger, and Roger Van Peski) The Bidirectional Ballot Polytope, Vol 18

• (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
• (with Jörg Thuswaldner and Mario Weitzer) The Finiteness Property for Shift Radix Systems With General Parameters, Vol 19

• 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 Jean-Luc Baril and Sergey Kirgizov) Motzkin Paths With a Restricted First Return Decomposition, Vol 19

• (with Tanbir Ahmed, Arie Bialostocki, and Le Anh Vinh) Power Sum Polynomials as Relaxed EGZ Polynomials, Vol 19

• (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 A.J. Hildebrand) The Number of Optimal Strategies in the Penney-Ante Game, Vol 21

• (with Lenny Jones) Arithmetic Progressions of Polygonal Numbers With Common Difference a Polygonal Number, Vol 17

• (with Dominic Klyve and Kathryn E. Temple) Estimating the Density of the Abundant Numbers, Vol 19

• (with Chris Pinner and Wasin Vipismakul) The Lind-Lehmer Constant for Z_m x Zⁿ, Vol 16

• (with Nemanja Kosovalić) Uniqueness for Sums of Nonvanishing Squares, Vol 20

• (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 Thomas Morrill) Robin's Inequality for 20-free Integers, Vol 21

• (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
• (with William Banks and Carl Pomerance) Symmetric Primes Revisited, Vol 19
• (with Dipika Subramaniam and Enrique Treviño) On Sums of Consecutive Triangular Numbers, Vol 20a

• 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 Roman Nedela) Density of Singular Pairs of Integers, Vol 18
• (with William Banks and Paul Pollack) Symmetric Primes Revisited, Vol 19
• A Note on Carmichael Numbers in Residue Classes, Vol 21A
• (with Richard Brent, David Purdum, and Jonathan Webster) Algorithms for the Multiplication Table Problem, Vol 21

• (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)
• (with Jeske Glenn, Christopher O'Neill, and Benjamin Sepanski) Augmented Hilbert Series of Numerical Semigroups, Vol 19

• 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

• A Generalization of Selfridge's Question, Vol 21

• (with M. Prasad) On 5-regular Bipartitions Into Distinct Parts, Vol 20

• (with K. V. Prasad) On 5-regular Bipartitions Into Distinct Parts, Vol 20

• (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
• Ternary Smirnov Words and Generating Functions, Vol 18
• (with Ivica Martinjak) Complementary Families of the Fibonacci-Lucas Relations, Vol 19
• (with Horst Alzer) Identities and Inequalities for Sums Involving Binomial Coefficients, Vol 20
• Sums of Powers Over Equally Spaced Fibonacci Numbers, Vol 20
• On Third-order Pell Polynomials, Vol 21

• The Combinatorics of Frieze Patterns and Markoff Numbers, Vol 20

• 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 Richard Brent, Carl Pomerance, and Jonathan Webster) Algorithms for the Multiplication Table Problem, Vol 21

• (with R. W. R. Darling) Maximum GCD Among Pairs of Random Integers, Vol 11

Q

• (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

• (with 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• 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 István Mező and Chen-Ying Wang) On Generalized Derangements and Some Orthogonal Polynomials, Vol 19

• (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 Ian Kaye) The Abelian Complexity of Infinite Words and the Frobenius Problem, Vol 21

• (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 Takao Komatsu and Vichian Laohakosol) Complex Cantor Series, Cantor Products and Their Independence, Vol 19
• (with Tuangrat Chaichana) Continued Fractions of Certain Series, Vol 19

• An Achievement Game on a Cycle, Vol 20

• (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
• (with Utkal Keshari Dutta) Analytic Continuation of Apostol-Vu Multiple Balancing Zeta Functions, Vol 20a

• (with Gopal Krishna Panda) Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits, Vol 21

• 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 Mélodie Lapointe) On the Frobenius Conjecture, Vol 21

• (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 Moussa Ahmia) Total Positivity of Toeplitz Matrices of Hyperlucas Sequence, Vol 20

• (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

• (with Shilin Ma, Kevin J. McGown, and Mathias Wanner) On the Number of Primes for Which a Polynomial is Eisenstein, Vol 18

• 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
• (with Vajresh Balaji, Olivia Edwards, Anne Marie Loftin, Solomon Mcharo, and Bineyam Tsegaye) Lattice Configurations Determining Few Distances, Vol 20

• Primitive Prime Divisors in Polynomial Arithmetic Dynamics, Vol 7

• Generalized Cauchy Determinants, Vol 8(1)

• A Sum Involving the Greatest-Integer Function, Vol 19

• (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 Edward E. Allen and Michael Weselcouch) Multivariable Lucas Polynomials and Lucanomials, Vol 21

• (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 Aubin Arroyo) Hausdorff Dimension of Sets of Numbers With Large Lüroth Elements, Vol 21

• (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 Bidisha Roy and Subha Sarkar) The Determination of 2-color Zero-sum Generalized Schur Numbers, Vol 18

• (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
• (with Elsa Magness and Brian Nugent) Walking to Infinity Along Gaussian Lines, Vol 21

• 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 Joe Buhler, Chris Freiling, Ron Graham, Jonathan Kariv, Mark Tiefenbruck, Clint Van Alten, and Dmytro Yeroshkin) On Levine's Notorious Hat Puzzle, Vol 21A

• (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
• (with Reem Yassawi and Christian Krattenthaler) Lucas Congruences for the Apéry Numbers Modulo p², Vol 21

• New Lower Bounds for Weak Schur Partitions, Vol 21

• (with Aaron Robertson and Subha Sarkar) The Determination of 2-color Zero-sum Generalized Schur Numbers, Vol 18

• Parity Sequences of the 3x+1 Map on the 2-adic Integers and Euclidean Embedding, Vol 19

• The Distribution of Solutions to xy = N (MOD a) with an Application to Factoring Integers, Vol 13
• The South Caicos Factoring Algorithm, Vol 21

• (with Andrzej Dudek and Jarosław Grytczuk) On Weak Twins and Up-and-down Sub-permutations, Vol 21A

• (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 Marcela Guttierez and Viola McCarty) On the Complete Tree of Primitive Pythagorean Quadruples, Vol 20

• (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 Alex McDonald, Brian McDonald, and Jonathan Passant) Distinct Distances From Points on a Circle to a Generic Set, Vol 21

• (with Daniel Panario and Qiang Wang) A Family of Fibonacci-Like Conditional Sequences, Vol 13

• (with Hitesh Kumar and Kamal Lochan Patra) Proper Divisor Graph of a Positive Integer, Vol 21

• (with Papa A. Sissokho and Jordan N. Torf) A Zero-Sum Theorem Over Z, Vol 13

• (with Shamik Das) Families of Non-congruent Numbers With Arbitrarily Many Pairs of Prime Factors, Vol 20

• (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 Sándor Kiss) On the Structure of Sets Which Have Coinciding Representation Functions, Vol 19

• (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 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• (with Hemar Godinho) A Family of Partitions Equinumerous With the Set of Nodes of a Family of Trees, Vol 20

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

• (with Aaron Robertson and Bidisha Roy) The Determination of 2-color Zero-sum Generalized Schur Numbers, Vol 18

• 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)

• (with Matthew C. Lettington) Divisor Functions and the Number of Sum Systems, Vol 20

• Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients, Vol 18
• New Congruences and Finite Difference Equations for Generalized Factorial Functions, Vol 18
• Combinatorial Sums and Identities Involving Generalized Sum-of-Divisors Functions with Bounded Divisors, Vol 20
• Exact Formulas for the Generalized Sum-of-Divisors Functions, Vol 21

• On the Reducibility of Exact Covering Systems, Vol 15
• (with Jamie Simpson) A New Approach to the Fraenkel Conjecture for Low n Values, Vol 19

• (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 Andrew V. Sills) The Product of Parts or "Norm" of a Partition, Vol 20a

• (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)

• (with Ethan Berkove and Andrew Eickemeyer) The 4-Color Cubes Puzzle, Vol 18

• Left Weighted Catalan Extension, Vol 10

• (with 10 other authors) Hyper b-ary Expansions and Stern Polynomials, Vol 20

• (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)

• 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
• Invariant Measures for New Classes of Piecewise Fractional Linear Maps, Vol 19
• Invariant measures for 2-dimensional maps and associated Rényi maps, Vol 21

• (with Matthias Beck and Serkan Hoşten) Lonely Runner Polyhedra, Vol 19

• (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 Savana Ammons, Young Jin Kim, and Holly Swisher) An Analogue of k-marked Durfee Symbols for Strongly Unimodal Sequences, Vol 21

• (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 Robson da Silva) New Congruences for 3-regular Partitions With Designated Summands, Vol 20a

• (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
• (with Hazel N. Brenner, James S. Depret-Guillaume, and Eyvindur A. Palsson) Uniqueness of Optimal Point Sets Determining Two Distinct Triangles, Vol 21

• (with Jeske Glenn, Christopher O'Neill, and Vadim Ponomarenko) Augmented Hilbert Series of Numerical Semigroups, Vol 19

• 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 Gregory A. Freiman and Christoph Spiegel) Additive Volume of Sets Contained in Few Arithmetic Progressions, Vol 19

• (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 Sourav Kanti Patra) Monochromatic Sums Equal to Products Near Zero, Vol 20

• (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
• Length of the Continued Logarithm Algorithm on Rational Inputs, Vol 20
• Abelian Complexity and Synchronization, Vol 21

• 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 Lars Blomberg and N. J. A. Sloane) Graphical Enumeration and Stained Glass Windows, 1: Rectangular Grids, Vol 21A

• (with Hùng Việt Chu, Noah Luntzlara, and Steven J. Miller) Infinite Families of Partitions Into MSTD Subsets, Vol 19
• (with Hùng Việt, Noah Luntzlara, and Steven J. Miller) Generalizations of a Curious Family of MSTD Sets Hidden by Interior Blocks, Vol 20a

• (with S. David Shapiro) Iterated Exponents in Number Theory, Vol 7

• (with Dennis E. Davenport and Leon C. Woodson) A Bijection Between the Triangulations of Convex Polygons and Ordered Trees, Vol 20

• (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 Katherine Cordwell, Alyssa Epstein, Anand Hemmandy, Steven J. Miller, Eyvindur Palsson, Stefan Steinerberger, and Yen Nhi Truong Vu) On Algorithms to Calculate Integer Complexity, Vol 19

• (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 Todd Cochrane) Sum-Products mod m and the Congruence \(ax_1x_2 \cdots x_k + bx_{k+1}x_{k+2}\cdots x_{2k} \equiv c \pmod {m}\), Vol 20
• (with Todd Cochrane) Small Solutions of \(ax_1\cdots x_k + bx_{k+1}\cdots x_{2k} \equiv c \pmod {m}\) under the Lindelöf Hypothesis, Vol 21

• (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

• On a Result of Bambah and Chowla, Vol 19

• (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
• (with J. Solymosi) Tilted Corners in Integer Grids, Vol 21A