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Volume 20 (2020)

• A1: A New Class of the r-Stirling Numbers and the Generalized Bernoulli Polynomials
  • Miloud Mihoubi and Meriem Tiachachat
    • PDF Abstract
• A2: Jordan's Expansion of the Reciprocal of Theta Functions and 2-densely Divisible Numbers
  • José Manuel Rodríguez Caballero
    • PDF Abstract
• A3: The Structure of a Sequence With Prescribed Zero-sum Subsequences
  • David J. Grynkiewicz, Chunlin Wang, and Kevin Zhao
    • PDF Abstract
• A4: Shifts of the Prime Divisor Function of Alladi and Erdős
  • Snehal M. Shekatkar and Tian An Wong
    • PDF Abstract
• A5: On Generalized Euler Numbers and Polynomials Related to Values of the Lerch Zeta Function
  • Takashi Agoh
    • PDF Abstract
• A6: The Distribution of the Generalized Greatest Common Divisor and Visibility of Lattice Points
  • Jorge Flórez, Cihan Karabulut, and Elkin Quintero Vanegas
    • PDF Abstract
• A7: Szemerédi-Trotter Type Results in Arbitrary Finite Fields
  • Ali Mohammadi
    • PDF Abstract
• A8: A Bijection Between the Triangulations of Convex Polygons and Ordered Trees
  • Dennis E. Davenport, Louis W. Shapiro, and Leon C. Woodson
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• A9: Identities and Inequalities for Sums Involving Binomial Coefficients
  • Horst Alzer and Helmut Prodinger
    • PDF Abstract
• A10: On the Integrality of Factorial Ratios and Mirror Maps
  • Alan Adolphson and Steven Sperber
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• A11: Prime Number Conjectures From the Shapiro Class Structure
  • Hartosh Singh Bal and Gaurav Bhatnagar
    • PDF Abstract
• A12: The Combinatorics of Frieze Patterns and Markoff Numbers
  • James Propp
    • PDF Abstract
• A13: Diophantine Equations Coming From Binomial Near-collisions
  • Nikos Katsipis
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• A14: Some Congruences for (2,5)-regular Cubic Partition Pairs
  • M. S. Mahadeva Naika, Harishkumar T, and Y. Veeranna
    • PDF Abstract
• A15: On the Diophantine Equation \(\frac{ax^{n+2l}+c}{abt^2x^n+d}=by^2\)
  • Wenyu Luo and Pingzhi Yuan
    • PDF Abstract
• A16: Index Divisibility in the Orbit of 0 for Integral Polynomials
  • T. Alden Gassert and Michael T. Urbanski
    • PDF Abstract
• A17: Sets of Cardinality 6 Are Not Sum-dominant
  • Hùng Việt Chu
    • PDF Abstract
• A18: Partition Inequalities and Applications to Sum-Product Conjectures of Kanade-Russell
  • Walter Bridges
    • PDF Abstract
• A19: A Proof of the Infinitude of Primes Via Continued Fractions
  • Joseph Vandehey
    • PDF Abstract
• A20: An Euler Phi Function for the Eisenstein Integers and Some Applications
  • Emily Gullerud and aBa Mbirika
    • PDF Abstract
• A21: Two New Explicit Formulas for the Bernoulli Numbers
  • Sumit Kumar Jha
    • PDF Abstract
• A22: An Improved Exponential Upper Bound for the Erdős-Ginzburg-Ziv Constant
  • Gábor Hegedűs
    • PDF Abstract
• A23: On Bivariate and Trivariate Miki-type Identities for Bernoulli Polynomials
  • Takashi Agoh
    • PDF Abstract
• A24: Richness of Arithmetic Progressions in Commutative Semigroups
  • Aninda Chakraborty and Sayan Goswami
    • PDF Abstract
• A25: Combinatorial Identities Involving Harmonic Numbers
  • Necdet Batır
    • PDF Abstract
• A26: Lower and Upper Bounds On Irregularities of Distribution
  • Karl Levy
    • PDF Abstract
• A27: A Diophantine System
  • Ajai Choudhry
    • PDF Abstract
• A28: Congruences for Overpartition Pairs and 5 Dots Bracelet Partitions Modulo 25
  • Dazhao Tang
    • PDF Abstract
• A29: Elliptic Fermat Numbers and Elliptic Divisibility Sequences
  • Seoyoung Kim and Alexandra Walsh
    • PDF Abstract
• A30: A Note on Applications from Extending Abel's Lemma
  • Alexander E Patkowski
    • PDF Abstract
• A31: Maximal Entries of Elements in Certain Matrix Monoids
  • Sandie Han, Ariane M. Masuda, Satyanand Singh, and Johann Thiel
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• A32: Brazilian Primes Which Are Also Sophie Germain Primes
  • Jon Grantham and Hester Graves
    • PDF Abstract
• A33: A Characterization of the Sum and Integral Sum Labellings of Some Classes of Graphs
  • Edgar Federico Elizeche and Amitabha Tripathi
    • PDF Abstract
• A34: On a Symmetricity Property Connected to the Euclidean Algorithm
  • Srikanth Cherukupally
    • PDF Abstract
• A35: Infinite Summation Formulas Involving the Riemann--Zeta Function
  • Xiaoxia Wang and Xueying Yuan
    • PDF Abstract
• A36: On the Two-color Rado Number for \(x_1+ax_2-x_3=c\)
  • Srashti Dwivedi and Amitabha Tripathi
    • PDF Abstract
• A37: Sums of Powers Over Equally Spaced Fibonacci Numbers
  • Helmut Prodinger
    • PDF Abstract
• A38: Congruence Properties for the Trinomial Coefficients
  • Moa Apagodu and Ji-Cai Liu
    • PDF Abstract
• A39: Distribution Laws of Friable Divisors
  • S. Nyandwi and A. Smati
    • PDF Abstract
• A40: A Note on a Generalization of Fundamental Gaps in Numerical Semigroups
  • Edgar Federico Elizeche and Amitabha Tripathi
    • PDF Abstract
• A41: Finite Sums of the Floor Functions Series
  • Ryszard Palka and Zdzislaw Trukszyn
    • PDF Abstract
• A42: Generalizations of Wolstenholme's Theorem Via the p-adic Logarithm
  • Peter Lombaers
    • PDF Abstract
• A43: A Note on Incomplete Leonardo Numbers
  • P. Catarino and A. Borges
    • PDF Abstract
• A44: A Supercongruence Involving Cubes of Catalan Numbers
  • Roberto Tauraso
    • PDF Abstract
• A45: The Sum of Digits Function of the Base Phi Expansion of the Natural Numbers
  • Michel Dekking
    • PDF Abstract
• A46: On the Finiteness of Carmichael Numbers with Fermat Factors and \(L=2^{\alpha}P^2\)
  • Yu Tsumura
    • PDF Abstract
• A47: On Multiplicative Bases of Finite Sets
  • Katalin Fried and Katalin Gyarmati
    • PDF Abstract
• A48: Note on a Determinant
  • Benjamin Dupuy
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• A49: A Remark on Periods of Periodic Sequences Modulo m
  • Shoji Yokura
    • PDF Abstract
• A50: Rainbow Numbers for \(x_1+x_2=kx_3\) in \(\mathbb{Z}_n\)
  • Erin Bevilacqua, Samuel King, Jürgen Kritschgau, Michael Tait, Suzannah Tebon, and Michael Young
    • PDF Abstract

Games Articles

• G1: Grundy Numbers of Impartial Chocolate Bar Games
  • Ryohei Miyadera, Shunsuke Nakamura, and Yushi Nakaya
    • PDF Abstract
• G2: Atomic Weight Calculus of Spindly Games
  • Michael Fisher, Neil McKay, Richard J. Nowakowski, Paul Ottaway, and Carlos Pereira dos Santos
    • PDF Abstract
• G3: Slow k-Nim
  • Vladimir Gurvich, Silvia Heubach, Hhan Bao Ho, and Nikolay Chikin
    • PDF Abstract
• G4: The Sprague-Grundy Function for Some Selective Compound Games
  • Calvin Beideman, Matthew Bowen, and Alp Müyesser
    • PDF Abstract
• G5: The Periodicity of Nim-Sequences in Two-Element Subtraction Games
  • Bret Benesh, Jamylle Carter, Doug Crabill, Deidra Coleman, Jack Good, Michael Smith, Jennifer Travis, and Mark Daniel Ward
    • PDF Abstract
• G6: A Note on a Subtraction--Transfer Game
  • Tamás Lengyel
    • PDF Abstract

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