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Volume 21 (2021)

• A1: Infinite Series Containing Generalized q-harmonic Numbers
  • Takao Komatsu and Rusen Li
    • PDF Abstract
• A2: On the Symmetry Graph of Prime Numbers
  • A. B. Kalmynin
    • PDF Abstract
• A3: A Method for Generating Permutation Polynomials Modulo pⁿ
  • Rajesh P. Singh
    • PDF Abstract
• A4: The South Caicos Factoring Algorithm
  • Michael O. Rubinstein
    • PDF Abstract
• A5: Congruences for Certain Lacunary Sums of Products of Binomial Coefficients
  • René Gy
    • PDF Abstract
• A6: The Structure of Zeckendorf Expansions
  • F. Michel Dekking
    • PDF Abstract
• A7: Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits
  • Sai Gopal Rayaguru and Gopal Krishna Panda
    • PDF Abstract
• A8: On the Minimum Cardinality of Generalized Sumsets in Finite Cyclic Groups
  • Jagannath Bhanja
    • PDF Abstract
• A9: Congruences For Fractional Partition Functions
  • Yunseo Choi
    • PDF Abstract
• A10: On Numerical Semigroups Generated by Compound Sequences
  • Amitabha Tripathi
    • PDF Abstract
• A11: The Factorial Moments of the Generalized Bernoulli-Fibonacci Distribution
  • Petros Hadjicostas
    • PDF Abstract
• A12: Multivariable Lucas Polynomials and Lucanomials
  • Edward E. Allen, Katherine Riley, and Michael Weselcouch
    • PDF Abstract
• A13: Alternative Formulations of the Generalized Cosecand and Secant Numbers
  • Victor Kowalenko
    • PDF Abstract
• A14: Invariant Measures for 2-dimensional Maps and Associated Rényi Maps
  • Fritz Schweiger
    • PDF Abstract
• A15: Some Congruences for (s,t)-regular Bipartitions Modulo t
  • T. Kathiravan and K. Srilakshmi
    • PDF Abstract
• A16: Walking to Infinity Along Gaussian Lines
  • Elsa Magness, Brian Nugent, and Leanne Robertson
    • PDF Abstract
• A17: The Frobenius Problem for Extended Thabit Numerical Semigroups
  • Kyunghwan Song
    • PDF Abstract
• A18: On the Family of Elliptic Curves \(X + 1/X + Y + 1/Y + t = 0\)
  • Abhishek Juyal and Dustin Moody
    • PDF Abstract
• A19: Exact Formulas for the Generalized Sum-of-Divisors Functions
  • Maxie Dion Schmidt
    • PDF Abstract
• A20: Lucas Congruences for the Apéry Numbers Modulo p²
  • Eric Rowland, Reem Yassawi, and Christian Krattenthaler
    • PDF Abstract
• A21: Quotients of Hurwitz Primes
  • Minghao Pan and Wentao Zhang
    • PDF Abstract
• A22: Some Nested Sums in Terms of the Riemann Zeta Function and the Dirichlet Beta Function
  • Sumit Kumar Jha
    • PDF Abstract
• A23: Dirichlet Series with Trigonometric Coefficients
  • Johann Franke
    • PDF Abstract
• A24: A Note on the Erdős-Straus Conjecture
  • Kyle Bradford
    • PDF Abstract
• A25: Isomorphism Classes of Distance Graphs in \(\mathbb{Q}^3\)
  • Matt Noble
    • PDF Abstract
• A26: Extensions of Midy's Theorem for Periodic Decimals
  • Sakshi Dang, Saraswati Nanoti, and Amitabha Tripathi
    • PDF Abstract
• A27: The Number of Optimal Strategies in the Penney-Ante Game
  • Reed Phillips and A.J. Hildebrand
    • PDF Abstract
• A28: Robin's Inequality for 20-free Integers
  • Thomas Morrill and David John Platt
    • PDF Abstract
• A29: The Bi-periodic Fibonacci-Horadam Matrix
  • Joy P. Ascaño and Edna N. Gueco
    • PDF Abstract
• A30: Shifted Convolution Sums of Arithmetic Functions of Two Variables and Ramanujan Expansions
  • Noboru Ushiroya
    • PDF Abstract
• A31: Harmonic Numbers and the Prime Counting Function
  • Jesse Elliott
    • PDF Abstract
• A32: A Recurring Pattern in Natural Numbers of a Certain Property
  • Daniel Tsai
    • PDF Abstract
• A33: Complete Additivity, Complete Multiplicativity, and Leibniz-additivity on Rationals
  • Jorma K. Merikoski, Pentti Haukkanen, and Timo Tossavainen
    • PDF Abstract
• A34: Repetitions of Multinomial Coefficients and a Generalization of Singmaster's Conjecture
  • Jean-Marie de Koninck, Nicolas Doyon, and William Verreault
    • PDF Abstract
• A35: An Analogue of k-marked Durfee Symbols for Strongly Unimodal Sequences
  • Savana Ammons, Young Jin Kim, Laura Seaberg, and Holly Swisher
    • PDF Abstract
• A36: Abelian Complexity and Synchronization
  • Jeffrey Shallit
    • PDF Abstract
• A37: The Mondrian Puzzle: A Bound Concerning the M(n)=0 Case
  • Cooper O'Kuhn and Todd Fellman
    • PDF Abstract
• A38: On Third-order Pell Polynomials
  • Helmut Prodinger
    • PDF Abstract
• A39: A Sextic Diophantine Chain and a Related Mordell Curve
  • Ajai Choudhry and Arman Shamsi Zargar
    • PDF Abstract
• A40: Cyclotomic Points and Algebraic Properties of Polygon Diagonals
  • Thomas Grubb and Christian Wolird
    • PDF Abstract
• A41: The Number of Parts in the (Distinct) Partitions with Parts From a Set
  • A. David Christopher
    • PDF Abstract
• A42: A New Property of Appell Sequences and Its Application
  • Takashi Agoh
    • PDF Abstract
• A43: Uniqueness of Optimal Point Sets Determining Two Distinct Triangles
  • Hazel N. Brenner, James S. Depret-Guillaume, Eyvindur A. Palsson, and Steven Senger
    • PDF Abstract
• A44: From a Hungary-Israel Contest Problem
  • Fang Chen
    • PDF Abstract
• A45: Discrete Correlations of Order 2 of Generalized Golay-Shapiro Sequences: A Combinatorial Approach
  • Irène Marcovici, Thomas Stoll, and Pierre-Adrien Tahay
    • PDF Abstract
• A46: The Abelian Complexity of Infinite Words and the Frobenius Problem
  • Ian Kaye and Narad Rampersad
    • PDF Abstract
• A47: Evaluation of Convolution Sums Involving Cubic Divisor Functions for a Class of Levels
  • Ebénézer Ntienjem
    • PDF Abstract
• A48: On a Generalized Family of Euler-Genocchi Polynomials
  • Mouloud Goubi
    • PDF Abstract
• A49: On Certain Diophantine Equations Involving Triangular Numbers
  • Junyao Peng and Yong Zhang
    • PDF Abstract
• A50: Perron Numbers and Positive Matrices of Minimal Order
  • Anne Bertrand-Mathis and Florent Nguema Ndong
    • PDF Abstract
• A51: On the Directions Determined by Cartesian Products and the Clique Number of Generalized Paley Graphs
  • Chi Hoi Yip
    • PDF Abstract
• A52: On Carmichael and Polygonal Numbers, Bernoulli Polynomials, and Sums of Base-p Digits
  • Bernd C. Kellner and Jonathan Sondow
    • PDF Abstract
• A53: Carleman's Inequality Over Prime Numbers
  • Christian Axler and Mehdi Hassani
    • PDF Abstract
• A54: A Generalization of the Kővári--Sós--Turán Theorem
  • Jesse Geneson
    • PDF Abstract
• A55: Distinct Distances From Points on a Circle to a Generic Set
  • Alex McDonald, Brian McDonald, Jonathan Passant, and Anurag Sahay
    • PDF Abstract
• A56: Sums and Convolutions of k-bonacci and k-Lucas Numbers
  • Greg Dresden and Yichen Wang
    • PDF Abstract
• A57: Particular Pell-Fermat Equations Revisited
  • Antoine Mhanna
    • PDF Abstract
• A58: On the Sum of Two Squares and at Most k Powers of 2
  • Dan Wang
    • PDF Abstract
• A59: New Lower Bounds for Weak Schur Partitions
  • Fred Rowley
    • PDF Abstract
• A60: Explicit Expressions for a Certain Subset of Appell Polynomials: A Probabilistic Perspective
  • José A. Adell and Alberto Lekuona
    • PDF Abstract
• A61: On Binomial Coefficients Associated with Sierpiński and Riesel Numbers
  • Ashley Armbruster, Grace Barger, Sofya Bykova, Tyler Dvoracheck, Emily Eckard, Joshua Harrington, Yewen Sun, and Tony W. H. Wong
    • PDF Abstract
• A62: Finite Sums of Arithmetic Progressions
  • Shahram Mohsenipour
    • PDF Abstract
• A63: Newton Sequences and Dirichlet Convolution
  • Klaudiusz Klaudiusz Wójcik
    • PDF Abstract
• A64: Note on a Determinant (II)
  • Benjamin Dupuy
    • PDF Abstract
• A65: Proper Divisor Graph of a Positive Integer
  • Hitesh Kumar, Kamal Lochan Patra, and Binod Kumar Sahoo
    • PDF Abstract
• A66: A Generalization of Selfridge's Question
  • Devendra Prasad
    • PDF Abstract
• A67: On the Frobenius Conjecture
  • Mélodie Lapointe and Christophe Reutenauer
    • PDF Abstract
• A68: On the Equation φ(n+k)=2φ(n)
  • Elchin Hasanalizade
    • PDF Abstract
• A69: Enumerating Restricted Dyck Paths with Context Free Grammars
  • AJ Bu and Robert Dougherty-Bliss
    • PDF Abstract
• A70: On the Prime Factors of Φ_p(M)
  • Luis H. Gallardo
    • PDF Abstract
• A71: Hausdorff Dimension of Sets of Numbers with Large Lüroth Elements
  • Aubin Arroyo and Gerardo González Robert
    • PDF Abstract
• A72: A Combinatorial Viewpoint on Preserving Notions of Largeness and an Abstract Rado Theorem
  • Sayan Goswami and Subhajit Jana
    • PDF Abstract
• A73: Linear Recurrences for Bernoulli Polynomials Involving Different Kinds of Sums
  • Takashi Agoh
    • PDF Abstract
• A74: An Elementary Computer Assisted Unique Factorization Test
  • Sándor Szabó
    • PDF Abstract
• A75: A Bijection Between Two Different Classes of Partitions Enumerated by p_ν(n)
  • A.S. Andersen
    • PDF Abstract
• A76: On the Total Number of Prime Factors of an Odd Perfect Number
  • Joshua Zelinsky
    • PDF Abstract
• A77: Algebraic Properties of a Hypergraph Lifting Map
  • Mark Budden, Josh Hiller, Tommy Meek, and Andrew Penland
    • PDF Abstract
• A78: On the Combinatorics of Placing Balls into Ordered Bins
  • Vedant Bonde and Joshua M. Siktar
    • PDF Abstract
• A79: On Sets Whose Subsets Have Integer Mean
  • Enrique Treviño
    • PDF Abstract
• A80: Weighted Partitions and Generalized r-Lah Numbers
  • Hacène Belbachir, Amine Belkhir, and Imad-Eddine Bousbaa
    • PDF Abstract
• A81: The Natural Density of Some Sets of Square-free Numbers
  • Ron Brown
    • PDF Abstract
• A82: A Formula for the Number of Overpartitions of n in Terms of the Number of Representations of n as a Sum of r Squares
  • Sumit Kumar Jha
    • PDF Abstract
• A83: The n-color Partition Function and Some Counting Theorems
  • Subhajit Bandyopadhyay and Nayandeep Deka Baruah
    • PDF Abstract
• A84: On Representations of the Riemann Zeta Function, Its Square and of the Positive Integers
  • Urpo M. Kyllönen
    • PDF Abstract
• A85: Parity Palindrome Compositions
  • George E. Andrews and Greg Simay
    • PDF Abstract
• A86: On Some p-adic Properties and Supercongruences of Delannoy and Schröder Numbers
  • Tamás Lengyel
    • PDF Abstract
• A87: Exceptional Totient Numbers
  • Breille Duncan, Joshua Harrington, and Andrew Vincent
    • PDF Abstract
• A88: Will the Real Hardy--Ramanujan Formula Please Stand Up?
  • Stephen DeSalvo
    • PDF Abstract
• A89: Arithmetic Subsequences in a Random Ordering of an Additive Set
  • Marcel K. Goh and Rosie Y. Zhao
    • PDF Abstract
• A90: Geometric Patterns in The Determinant Hosoya Triangle
  • Matthew Blair, Rigoberto Flórez, and Antara Mukherjee
    • PDF Abstract
• A91: Fibonacci Colored Compositions and Applications
  • Juan B. Gil and Jessica A. Tomasko
    • PDF Abstract

Games Articles

• G1: A Codex of N- and P-positions in Harary's 'Caterpillar Game'
  • Richard M. Low, Ardak Kapbasov, Arman Kapbasov, Stephen C. Locke, and W. H. Chan
    • PDF Abstract
• G2: Amalgamation Nim
  • S.C. Locke and B. Handley
    • PDF Abstract
• G3: On the Additive Period Length of the Sprague-Grundy Function of Certain Nim-like Games
  • Jens Askgaard
    • PDF Abstract
• G4: More about Exact Slow k-Nim
  • Nikolay Chikin, Vladimir Gurvich, Konstantin Knop, Mike Paterson, and Michael Vyalyi
    • PDF Abstract

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