Volume 24 (2024)
Click on an article's title to obtain its pdf.
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A1:
Continuous Turán Numbers
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A2:
Piecewise Syndetic Sets in \(\mathbb{N}^t\) and \(\mathbb{N}^X\)
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A3:
The General Divisor Problem of Cusp Form Coefficients over Arithmetic Progressions
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A4:
Algorithms and Bounds on the Sums of Powers of Consecutive Primes
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Cathal O'Sullivan, Jonathan P. Sorenson, and Aryn Stahl
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A5:
Groups and Monoid in the Set of Pythagorean Triples
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A6:
A Unified Approach to \(q\)MZVs
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A7:
Evaluating the Generalized Buchstab Function and Revisiting the Variance of the Distribution of the Smallest Components of Combinatorial Objects
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Claude Gravel and Daniel Panario
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A8:
Elliptic Curves over Finite Fields and Ramanujan Graphs on Two Vertices
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A9:
On the Weakly Prime-Additive Numbers with Length 4
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A10:
Sierpiński and Riesel Numbers in Narayana's Cow Sequence
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Katherine Franzone and Joshua Harrington
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A11:
On the \(a\)-Points of the \(k^{\mathrm{th}}\) Derivative of an \(L\)-Function in the Selberg Class
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M. P. Chaudhary, Salem Guiben, Kamel Mazhouda, and Mohammed Mekkaoui
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A12:
A Congruence Identity on Ordered Partitions Using Permutation Polynomials
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Chandan Kumar Vishwakarma and Rajesh P. Singh
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A13:
Locally Nilpotent Polynomials over \(\mathbb{Z}\)
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A14:
A Note on the Decimal Expansion of Reciprocals of Mersenne Primes
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A15:
Combinatorial Proofs of Merca's Identities Involving the Sum of Different Parts Congruent to \(r\) Modulo \(m\) in All Partitions of \(n\)
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A16:
New Infinite Families of Congruences Modulo Powers of 2 for 2-Regular Partitions with Designated Summands
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A17:
A Remark on Singular Duals of Moebius Maps
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A18:
Finite Field Models of Polynomials Interpolating Fourier Coefficients of Modular Functions for Hecke Groups
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A19:
Complexity of Natural Numbers
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A20:
Narayana Numbers Which Are Concatenations of Two Base b Repdigits
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Prasanta Kumar Ray and Kisan Bhoi
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A21:
Arithmetical Self-Similar Compact Sets
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A22:
Regular Primes, Non-Wieferich Primes, and Finite Multiple Zeta Values of Level N
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A23:
Pseudoprimes and Fermat Numbers
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A24:
The Structure of Base Phi Expansions
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A25:
Finding Sums of Four Squares via Complex Continued Fractions
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Zhaonan Wang and Yingpu Deng
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A26:
Expressing an Integer as a Sum of Cubes of Polynomials
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A27:
On the 2-Adic Valuation of Differences of Harmonic Numbers
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A28:
On Higher Moments of Dirichlet Coefficients Attached to Symmetric Power L-Functions Over Certain Sequences of Positive Integers
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A29:
The Euclidean Algorithm as a Sequence of Modular Inverse Switching Formulas
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A30:
Integer Group Determinants for \(\mathrm{C}_{4}^{2}\)
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Yuka Yamaguchi and Naoya Yamaguchi
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A31:
Primitive Pythagorean Triangles with Sides of Certain Forms
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Yangcheng Li and Yong Zhang
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A32:
A Conjecture of Chu et al. and a New Family of MSTD Sets
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Manish Kumar, Mohan, and Ram Krishna Pandey
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A33:
Mean Values of the Product of an Integer and Its Modular Inverse
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Olivier Bordellès and László Tóth
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A34:
Effective Estimates for Some Functions Defined over Primes
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A35:
Arndt Compositions: A Generating Functions Approach
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Daniel F. Checa and José L. Ramírez
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A36:
Period Lengths Modulo n and Average of Terms of Second Order Linear Recurrences
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Michal Křížek and Lawrence Somer
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A37:
Lower Rational Approximations and Farey Staircases
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A38:
On Unit-Weighted Zero-Sum Constants of \(\mathbb{Z}_n\)
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Santanu Mondal, Krishnendu Paul, and Shameek Paul
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A39:
Congruences Relating Regular Partition Functions, a Generalized Tau Function, and Partition Function Weighted Composition Sums
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S. Sriram and A. David Christopher
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A40:
On a Formula and Some Properties of Carmichael Indices
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Atsushi Yamagami and Youichi Inaba
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A41:
Generalized Degenerate Harmonic Numbers and Their Applications with Riordan Arrays
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Ömer Duran, Neşe Ömür, and Sibel Koparal
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A42:
Maker-Breaker Rado Games for Equations with Radicals
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Collier Gaiser and Paul Horn
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A43:
Series of Height One Multiple Zeta Functions
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A44:
Enumerating k-Naples Parking Functions through Catalan Objects
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João Pedro Carvalho, Pamela E. Harris, Gordon Rojas Kirby, Nico Tripeny, and Andrés R. Vindas Meléndez
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A45:
New Series Representations for the Riemann Zeta Function and Its Associated Functions
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Anthony Sofo and Junesang Choi
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A46:
Elementary Symmetric Functions and Deep Power-Sum Congruences
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Samuele Anni, Alexandru Ghitza, and Anna Medvedovsky
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A47:
Another Topological Proof of the Infinitude of Prime Numbers
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A48:
Under What Conditions on the Exponents Does \(x^{m} + y^{n} = z^{r}\) Have Solutions?
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A49:
On a Model of \(([k];p;s)\)-Generalized Padovan-Perrin and Fibonacci Fundamental System
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Elen Viviani Pereira Spreafico, Mustapha Rachidi, and Paula Maria Machado Cruz Catarino
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A50:
Classification for Existence of the Continued Fraction Expansions of \(\sqrt{D}\) and \((1+\sqrt{D})/2\)
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A51:
Proof of Irvine’s Conjecture via Mechanized Guessing
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A52:
Möbius Maps and Continued Fractions
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A53:
Lexicographically Minimal Extension of a Finite Binomid Index
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Jonathan Caalim and Yu-ichi Tanaka
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A54:
The Distribution of the Number of Fixed Points in k-Permutations
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A55:
The Log Moments of Smallest Denominators
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A56:
Casting Light on Integer Partitions
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Aubrey Blecher, Arnold Knopfmacher, and Michael Mays
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A57:
Sums of Distinct Eisenstein Primes
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A58:
Weighted File Placements on Singleton Boards
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A59:
Asymptotic Products of Binomial and Multinomial Coefficients Revisited
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A60:
The Integer Decomposition Property and Weighted Projective Space Simplices
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Bejamin Braun, Robert Davis, Derek Hanely, Morgan Lane, and Liam Solus
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A61:
On 2-Near Perfect Numbers
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Vedant Aryan, Dev Madhavani, Savan Parikh, Ingrid Slattery, and Joshua Zelinsky
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A62:
Large Zsigmondy Primes
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A63:
Farey Fractions with Equal Numerators and the Rank of Unit Fractions
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A64:
On the Equation \((-1)^\alpha p^x+(-1)^\beta (2^k(2p-1))^y=z^2\) for Prime Pairs \((p, 2p-1)\)
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A65:
On the Distribution of \(\phi(\sigma(n))\)
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Anup B. Dixit and Saunak Bhattacharjee
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A66:
Explicit Improvements to the Burgess Bound via Pólya--Vinogradov
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Matteo Bordignon and Forrest J. Francis
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A67:
Metrical Properties of Functions of Consecutive Digits in Lüroth Series
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Dmitry Kleinbock and Yuqing Zhang
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A68:
On the Diophantine Equation \(n^x+(5p)^y=z^2\)
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A69:
On Minimum-Base Palindromic Representations of Powers of 2
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Donald L. Kreher and Douglas R. Stinson
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A70:
On Hypersequences of an Arbitrary Sequence and Their Weighted Sums
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A71:
On an Irreducibility Question Concerning Palindromic Non-cyclotomic 0,1-Polynomials
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Pradipto Banerjee and Amit Kundu
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A72:
\( F_4 F_5^6 F_7 F_8^4 F_9 F_{10}^2 F_{12}^5 F_{14} F_{15}^{-1} F_{18} F_{24} F_{30}=36!\)
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A73:
Sums of Products of Binomial Coefficients Mod 2 and 2-Regular Sequences
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Narad Rampersad and Max Wiebe
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A74:
An Analogue to the Infinitary Hales-Jewett Theorem
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Aninda Chakraborty and Sayan Goswami
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A75:
Weighted Summation of Dirichlet Convolutions and Applications to Some Divisor Problems over k-Free and B-Free Integers
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A76:
Inversion Sequences Avoiding a Set of Length-3 Patterns
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A77:
A Generalization of the Landen Connection Formula and Generalized Poly-Bernoulli Numbers
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A78:
Walking to Infinity Along Some Number Theory Sequences
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Steven J. Miller, Fei Peng, Tudor Popescu, Joshua M. Siktar, and Nawapan Wattanawanichkul
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A79:
New Congruences for Partitions Where the Even Parts Are Distinct
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A80:
Divisibility Properties for Overcubic Partition Triples
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S. Shivaprasada Nayaka, B. N. Dharmendra, and M. C. Mahesh Kumar
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A81:
Some Direct and Inverse Problems for the Restricted Signed Sumset in the Set of Integers
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Mohan, Raj Kumar Mistri, and Ram Krishna Pandey
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A82:
The Log-Behavior of Some Sequences Related to the Generalized Leonardo Numbers
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A83:
A Heuristic for Discrete Mean Values of the Derivatives of the Riemann Zeta Function
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Christopher Hughes, Greg Martin, and Andrew Pearce-Crump
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A84:
Alternating Sums in the Generalized Hyperbolic Pascal Triangle
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Hacène Belbachir, Fella Rami, and László Szalay
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A85:
Analytic Continuation of the \(\ell\)-Generalized Fibonacci Zeta Function
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Nabin Kumar Meher and Dilip Kumar Sahoo
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A86:
Congruences for \(\ell\)-Regular Tripartitions for \(\ell \in \{ 2,3 \} \)
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Mohammed L. Nadji and Moussa Ahmia
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A87:
Wilson's Theorem Modulo \(p^2\) Derived from Faulhaber Polynomials
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A88:
A Method for Finding All Permutiples with a Fixed Set of Digits from a Single Known Example
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A89:
Sparse Admissible Sets and a Problem of Erdős and Graham
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A90:
Permutation Polynomials of the Form \(\sum_{n=1}^k h(n) X^n\)
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Zhiguo Ding and Michael E. Zieve
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A91:
Runs of Integers with Constant Values of the Carmichael Function
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Noah Lebowitz-Lockard and J.C. Saunders
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A92:
On the Brocard-Ramanujan Equation with Tribonacci and Tetranacci Numbers
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A93:
Thresholds for Zero-Sums with Small Cross Numbers in Abelian Groups
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Neal Bushaw and Glenn Hurlbert
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A94:
A Binary Version of the Mahler-Popken Complexity Function
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A95:
A Study on Generalized Zumkeller Numbers
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Jayanta Kalita and Helen K. Saikia
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A96:
On The Minimum Cardinality of MPTQ Sets
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Anupriya Shetty and B. R. Shankar
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A97:
Carmichael Numbers with a Prime Number of Prime Factors
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A98:
No New Goormaghtigh Primes up to 10700
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A99:
Almost Primes of Almost Prime Index
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Paul Kinlaw, Megan Triplett, and William Tripp
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A100:
Dense Sets of Natural Numbers with Unusually Large Least Common Multiples
GAMES ARTICLES
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G1:
On Remoteness Functions of Exact Slow k-NIM with k+1 Piles
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Vladimir Gurvich, Denis Martynov, Vladislav Maximchuk, and Michael Vyalyi
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G2:
On Winning Strategies in Sylver Coinage When 4 Has Been Chosen
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Morgan Boyers, Natalie Burton, Jeff Rushall, James Warner, and Tara Zurick
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G3:
Olympic Games: Three Impartial Games with Infinite Octal Codes
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Michael Fisher, Keith Hazen, and Craig Tennenhouse
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G4:
Cycle Games on Graphs
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Zachary Gates, Drake Hayes, Robert Kelvey, Will Lillis, and Minh Phan