Volume 21 (2021)
-
A1:
Infinite Series Containing Generalized q-harmonic Numbers
-
Takao Komatsu and Rusen Li
-
A2:
On the Symmetry Graph of Prime Numbers
-
A3:
A Method for Generating Permutation Polynomials Modulo pn
-
A4:
The South Caicos Factoring Algorithm
-
A5:
Congruences for Certain Lacunary Sums of Products of Binomial Coefficients
-
A6:
The Structure of Zeckendorf Expansions
-
A7:
Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits
-
Sai Gopal Rayaguru and Gopal Krishna Panda
-
A8:
On the Minimum Cardinality of Generalized Sumsets in Finite Cyclic Groups
-
A9:
Congruences For Fractional Partition Functions
-
A10:
On Numerical Semigroups Generated by Compound Sequences
-
A11:
The Factorial Moments of the Generalized Bernoulli-Fibonacci Distribution
-
A12:
Multivariable Lucas Polynomials and Lucanomials
-
Edward E. Allen, Katherine Riley, and Michael Weselcouch
-
A13:
Alternative Formulations of the Generalized Cosecand and Secant Numbers
-
A14:
Invariant Measures for 2-dimensional Maps and Associated Rényi Maps
-
A15:
Some Congruences for (s,t)-regular Bipartitions Modulo t
-
T. Kathiravan and K. Srilakshmi
-
A16:
Walking to Infinity Along Gaussian Lines
-
Elsa Magness, Brian Nugent, and Leanne Robertson
-
A17:
The Frobenius Problem for Extended Thabit Numerical Semigroups
-
A18:
On the Family of Elliptic Curves \(X + 1/X + Y + 1/Y + t = 0\)
-
Abhishek Juyal and Dustin Moody
-
A19:
Exact Formulas for the Generalized Sum-of-Divisors Functions
-
A20:
Lucas Congruences for the Apéry Numbers Modulo p2
-
Eric Rowland, Reem Yassawi, and Christian Krattenthaler
-
A21:
Quotients of Hurwitz Primes
-
Minghao Pan and Wentao Zhang
-
A22:
Some Nested Sums in Terms of the Riemann Zeta Function and the Dirichlet Beta Function
-
A23:
Dirichlet Series with Trigonometric Coefficients
-
A24:
A Note on the Erdős-Straus Conjecture
-
A25:
Isomorphism Classes of Distance Graphs in \(\mathbb{Q}^3\)
-
A26:
Extensions of Midy's Theorem for Periodic Decimals
-
Sakshi Dang, Saraswati Nanoti, and Amitabha Tripathi
-
A27:
The Number of Optimal Strategies in the Penney-Ante Game
-
Reed Phillips and A.J. Hildebrand
-
A28:
Robin's Inequality for 20-free Integers
-
Thomas Morrill and David John Platt
-
A29:
The Bi-periodic Fibonacci-Horadam Matrix
-
Joy P. Ascaño and Edna N. Gueco
-
A30:
Shifted Convolution Sums of Arithmetic Functions of Two Variables and Ramanujan Expansions
-
A31:
Harmonic Numbers and the Prime Counting Function
-
A32:
A Recurring Pattern in Natural Numbers of a Certain Property
-
A33:
Complete Additivity, Complete Multiplicativity, and Leibniz-additivity on Rationals
-
Jorma K. Merikoski, Pentti Haukkanen, and Timo Tossavainen
-
A34:
Repetitions of Multinomial Coefficients and a Generalization of Singmaster's Conjecture
-
Jean-Marie de Koninck, Nicolas Doyon, and William Verreault
-
A35:
An Analogue of k-marked Durfee Symbols for Strongly Unimodal Sequences
-
Savana Ammons, Young Jin Kim, Laura Seaberg, and Holly Swisher
-
A36:
Abelian Complexity and Synchronization
-
A37:
The Mondrian Puzzle: A Bound Concerning the M(n)=0 Case
-
Cooper O'Kuhn and Todd Fellman
-
A38:
On Third-order Pell Polynomials
-
A39:
A Sextic Diophantine Chain and a Related Mordell Curve
-
Ajai Choudhry and Arman Shamsi Zargar
-
A40:
Cyclotomic Points and Algebraic Properties of Polygon Diagonals
-
Thomas Grubb and Christian Wolird
-
A41:
The Number of Parts in the (Distinct) Partitions with Parts From a Set
-
A42:
A New Property of Appell Sequences and Its Application
-
A43:
Uniqueness of Optimal Point Sets Determining Two Distinct Triangles
-
Hazel N. Brenner, James S. Depret-Guillaume, Eyvindur A. Palsson, and Steven Senger
-
A44:
From a Hungary-Israel Contest Problem
-
A45:
Discrete Correlations of Order 2 of Generalized Golay-Shapiro Sequences: A Combinatorial Approach
-
Irène Marcovici, Thomas Stoll, and Pierre-Adrien Tahay
-
A46:
The Abelian Complexity of Infinite Words and the Frobenius Problem
-
Ian Kaye and Narad Rampersad
-
A47:
Evaluation of Convolution Sums Involving Cubic Divisor Functions for a Class of Levels
-
A48:
On a Generalized Family of Euler-Genocchi Polynomials
-
A49:
On Certain Diophantine Equations Involving Triangular Numbers
-
Junyao Peng and Yong Zhang
-
A50:
Perron Numbers and Positive Matrices of Minimal Order
-
Anne Bertrand-Mathis and Florent Nguema Ndong
-
A51:
On the Directions Determined by Cartesian Products and the Clique Number of Generalized Paley Graphs
-
A52:
On Carmichael and Polygonal Numbers, Bernoulli Polynomials, and Sums of Base-p Digits
-
Bernd C. Kellner and Jonathan Sondow
-
A53:
Carleman's Inequality Over Prime Numbers
-
Christian Axler and Mehdi Hassani
-
A54:
A Generalization of the Kővári--Sós--Turán Theorem
-
A55:
Distinct Distances From Points on a Circle to a Generic Set
-
Alex McDonald, Brian McDonald, Jonathan Passant, and Anurag Sahay
-
A56:
Sums and Convolutions of k-bonacci and k-Lucas Numbers
-
Greg Dresden and Yichen Wang
-
A57:
Particular Pell-Fermat Equations Revisited
-
A58:
On the Sum of Two Squares and at Most k Powers of 2
-
A59:
New Lower Bounds for Weak Schur Partitions
-
A60:
Explicit Expressions for a Certain Subset of Appell Polynomials: A Probabilistic Perspective
-
José A. Adell and Alberto Lekuona
-
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
-
A62:
Finite Sums of Arithmetic Progressions
-
A63:
Newton Sequences and Dirichlet Convolution
-
Klaudiusz Klaudiusz Wójcik
-
A64:
Note on a Determinant (II)
-
A65:
Proper Divisor Graph of a Positive Integer
-
Hitesh Kumar, Kamal Lochan Patra, and Binod Kumar Sahoo
-
A66:
A Generalization of Selfridge's Question
-
A67:
On the Frobenius Conjecture
-
Mélodie Lapointe and Christophe Reutenauer
-
A68:
On the Equation φ(n+k)=2φ(n)
-
A69:
Enumerating Restricted Dyck Paths with Context Free Grammars
-
AJ Bu and Robert Dougherty-Bliss
-
A70:
On the Prime Factors of Φp(M)
-
A71:
Hausdorff Dimension of Sets of Numbers with Large Lüroth Elements
-
Aubin Arroyo and Gerardo González Robert
-
A72:
A Combinatorial Viewpoint on Preserving Notions of Largeness and an Abstract Rado Theorem
-
Sayan Goswami and Subhajit Jana
-
A73:
Linear Recurrences for Bernoulli Polynomials Involving Different Kinds of Sums
-
A74:
An Elementary Computer Assisted Unique Factorization Test
-
A75:
A Bijection Between Two Different Classes of Partitions Enumerated by pν(n)
-
A76:
On the Total Number of Prime Factors of an Odd Perfect Number
-
A77:
Algebraic Properties of a Hypergraph Lifting Map
-
Mark Budden, Josh Hiller, Tommy Meek, and Andrew Penland
-
A78:
On the Combinatorics of Placing Balls into Ordered Bins
-
Vedant Bonde and Joshua M. Siktar
-
A79:
On Sets Whose Subsets Have Integer Mean
-
A80:
Weighted Partitions and Generalized r-Lah Numbers
-
Hacène Belbachir, Amine Belkhir, and Imad-Eddine Bousbaa
-
A81:
The Natural Density of Some Sets of Square-free Numbers
-
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
-
A83:
The n-color Partition Function and Some Counting Theorems
-
Subhajit Bandyopadhyay and Nayandeep Deka Baruah
-
A84:
On Representations of the Riemann Zeta Function, Its Square and of the Positive Integers
-
A85:
Parity Palindrome Compositions
-
George E. Andrews and Greg Simay
-
A86:
On Some p-adic Properties and Supercongruences of Delannoy and Schröder Numbers
-
A87:
Exceptional Totient Numbers
-
Breille Duncan, Joshua Harrington, and Andrew Vincent
-
A88:
Will the Real Hardy--Ramanujan Formula Please Stand Up?
-
A89:
Arithmetic Subsequences in a Random Ordering of an Additive Set
-
Marcel K. Goh and Rosie Y. Zhao
-
A90:
Geometric Patterns in The Determinant Hosoya Triangle
-
Matthew Blair, Rigoberto Flórez, and Antara Mukherjee
-
A91:
Fibonacci Colored Compositions and Applications
-
Juan B. Gil and Jessica A. Tomasko
-
A92:
Algorithms for the Multiplication Table Problem
-
Richard Brent, Carl Pomerance, David Purdum, and Jonathan Webster
-
A93:
Small Solutions of \(ax_1\cdots x_k + bx_{k+1}\cdots x_{2k} \equiv c \pmod{m}\) under the Lindelöf Hypothesis
-
Todd Cochrane and Sanying Shi
-
A94:
Sums over Primes
-
A95:
Recurrence Relations for Generalized Laguerre Polynomials
-
A96:
Extrema of Luroth Digits and a Zeta Function Limit Relation
-
Jayadev S. Athreya and Krishna B. Athreya
-
A97:
Maximum Distances in the Four-digit Kaprekar Process
-
A98:
On the Equality of Dedekind Sums
-
A99:
Representation Numbers of Spinor Regular Ternary Quadratic Forms
-
Zafer Selcuk Aygin, Greg Doyle, Florian Münkel, Lerna Pehlivan, and Kenneth S. Williams
-
A100:
Chebyshev-Fibonacci Polynomial Relations Using Generating Functions
-
Robert Frontczak and Taras Goy
-
A101:
High Degree b-Niven Numbers
-
A102:
Values of Weighted Davenport Constants
-
Rene Ardila, Christine Caples, Helen G. Grundman, Laura L. Hall-Seelig, Jill E. Jordan, Karen T. Kohl, and Thomas P. Wakefield
-
A103:
Three Imprimitive Character Sums
-
A104:
Multidimensional Small Divisor Functions
-
A105:
Abundance of Arithmetic Progressions in Some Combinatorially Rich Sets by Elementary Means
-
Pintu Debnath and Sayan Goswami
-
A106:
On (Yet Another) Family of Stirling Polynomials of the Second Kind
-
A107:
WZ Proofs for Lemniscate-like Constant Evaluations
-
A108:
On Pillai's Problem with Lucas Numbers and Powers of 3
-
Bilizimbéyé Edjeou, Amadou Tall, and Mohamed Ben Fraj Ben Maaouia
-
A109:
Lucas-Lehmer Primality Tests for Certain Prime Curios
-
E. L. Roettger and H. C. Williams
-
A110:
Some Diophantine Problems Concerning a Pair of Rational Triangles with a Common Circumradius
-
A111:
Proof of Two Conjectures of Andrica and Bagdasar
-
A112:
Gibonacci Polynomial Products with Implications
-
A113:
Multiplicative Functions with \(f(p+q-n_0) = f(p)+f(q)-f(n_0)\)
-
A114:
Finite Sums of Consecutive Terms of a Second Order Linear Recurrence Relation
-
A115:
On the Third Largest Prime Divisor of an Odd Perfect Number
-
Sean Bibby, Pieter Vyncke, and Joshua Zelinsky
-
A116:
Binary Recurrences with Prime Powers as Fixed Points of Their Discriminator
-
A117:
On Solutions to Erdős' Last Equation
-
A118:
Polynomial Interpolation of Modular Forms for Hecke Groups
-
A119:
On (Self-) Reciprocal Appell Polynomials: Symmetry and Faulhaber-type Polynomials
-
A120:
Higher Degree Davenport Constants over Finite Commutative Rings
-
Yair Caro, Benjamin Girard, and John R. Schmitt
-
A121:
A New Class of Polynomials Related to the Stirling Numbers and Series Representations for Some Mathematical Constants
-
Horst Alzer and Emanuele Munarini
-
A122:
On the Counting Function of Semiprimes
-
Dragoș Crișan and Radek Erban
-
A123:
A Note on Integers That Are Uniquely Expressible by Integral Geometric Sequences
-
Edgar Federico Elizeche and Amitabha Tripathi
-
A124:
Frobenius Numbers and Automatic Sequences
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
-
G2:
Amalgamation Nim
-
S.C. Locke and B. Handley
-
G3:
On the Additive Period Length of the Sprague-Grundy Function of Certain Nim-like Games
-
G4:
More about Exact Slow k-Nim
-
Nikolay Chikin, Vladimir Gurvich, Konstantin Knop, Mike Paterson, and Michael Vyalyi