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Volume 17 (2017)

• A1: Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials
  • Tian-Xiao He and Jinze Zheng
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631009

• A2: Accurate Asymptotic Estimates of Catalan's Sequence
  • Vito Lampret
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631018

• A3: A New Constraint on Perfect Cuboids
  • Thomas A. Plick
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631026

• A4: A Short Note on Reduced Residues
  • Pascal Stumpf
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631034

• A5: The 2-adic Order of Some Generalized Fibonacci Numbers
  • Tamás Lengyel and Diego Marques
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631042

• A6: An Implicit Zeckendorf Representation
  • Martin Griffiths
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631052

• A7: On Partition Configurations of Andrews-Deutsch
  • Abdulaziz M. Alanazi and Augustine O. Munagi
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631073

• A8: Carries and the Arithmetic Progression Structure of Sets
  • Francesco Monopoli and Imre Z. Ruzsa
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631081

• A9: The Monotonicity of Some Sequences Related to Hyperharmonic Numbers
  • Feng-Zhen Zhao
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10631098

• A10: Multiple Harmonic Sums and Multiple Harmonic Star Sums are (Nearly) Never Integers
  • Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, and Roberto Tauraso
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636062

• A11: Explicit Mertens Sums
  • Ramdinmawia Vanlalngaia
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636070

• A12: Reducibility of Polynomials Over Algebraic Number Fields
  • P. Singthongla, N. R. Kanasri, and V. Laohakosol
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636081

• A13: On Combinatorial Identities of Engbers and Stocker
  • Horst Alzer and Helmut Prodinger
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636087

• A14: A Simple Proof of a Conjecture of Dou on (3,7)-Regular Bipartitions Modulo 3
  • Chandrashekar Adiga and Ranganatha D.
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636099

• A15: Representation of Real Numbers by the Alternating Cantor Series
  • Symon Serbenyuk
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636105

• A16: Revitalized Automatic Proofs: Demonstrations
  • Tewodros Amdeberhan, David Callan, Hideyuki Ohtsuka, and Roberto Tauraso
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636110

• A17: A Generalization of Schauz and Brink's Restricted-Variable Version of Chevalley's Theorem
  • Yogesh More and Craig V. Spencer
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636127

• A18: Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers
  • C. Augspurger, M. Minter, K. Shoukry, P. Sissokho, and K. Voss
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636140

• A19: A Generalized Stern-Brocot Tree
  • Dhroova Aiylam
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636158

• A20: On Permutiples Having a Fixed Set of Digits
  • Benjamin V. Holt
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636163

• A21: Congruences for 1-Shell Totally Symmetric Plane Partitions
  • Shane Chern
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636168

• A22: New Congruences for l-Regular Overpartitions
  • Shane Chern
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636176

• A23: Weakened Ramsey Numbers and Their Hypergraph Analogues
  • Mark Budden, Matthew Stender, and Yanbo Zhang
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636187

• A24: Sum of Two Repdigits a Square
  • Bart Goddard and Jeremy Rouse
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636207

• A25: Congruences Associated with the Modular j-Invariant
  • Heng Huat Chan and Si Ying Lee
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636218

• A26: Closed Form Expressions for the Stirling Numbers of the First Kind
  • José A. Adell and Alberto Lekuona
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636226

• A27: Shortest Distance in Modular Cubic Polynomials
  • Tsz Ho Chan
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636233

• A28: Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers
  • Wei Wang, Xiaoping Li, Xiang-Gen Xia, Wenjie Wang, and Jianguo Qian
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636237

• A29: Equality of Dedekind Sums Modulo 24Z
  • Kurt Girstmair
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636243

• A30: Conference Matrices With Maximum Excess and Two-intersection Sets
  • Koji Momihara and Sho Suda
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636249

• A31: Combinatorial Properties of Poly-Bernoulli Relatives
  • Beáta Bényi and Péter Hajnal
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636257

• A32: An Infinite Family of Quartic Polynomials Whose Products of Consecutive Values are Finitely Often Perfect Squares
  • Konstantinos Gaitanas
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636264

• A33: Finite Reciprocal Sums of Products Involving Squares of Sines or Cosines With Arguments in Arithmetic Progression
  • R. S. Melham
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636268

• A34: Origami Constructions of Rings of Integers of Imaginary Quadratic Fields
  • Jürgen Kritschgau and Adriana Salerno
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10636277

• A35: The Quartic Residues Latin Square
  • Christian Aebi and Grant Cairns
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653038

• A36: An Ordered Partition Expansion of the Determinant
  • Erik Insko, Katie Johnson, and Shaun Sullivan
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653044

• A37: Inverse Theorems in Z/pZ When a Subset is Contained in a Short Arithmetic Progression
  • Mario Huicochea
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653048

• A38: On the Periodicity of Irreducible Elements in Arithmetical Congruence Monoids
  • Jacob Hartzer and Christopher O'Neill
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653050

• A39: Lower Bounds on the Weak Schur Numbers Up to 9 Colors (see also this paper's errata)
  • Fanasina Rafilipojaona
    • Select Abstract Errata PDF
      DOI: 10.5281/zenodo.10653052

• A40: Proof of the Prime Ladder Conjecture
  • Nathaniel Dean
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653058

• A41: A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers
  • Greg Doyle and Kenneth S. Williams
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653062

• A42: General Sum Formula for Bi-periodic Fibonacci and Lucas Numbers
  • Elif Tan
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653067

• A43: Arithmetic Progressions of Polygonal Numbers With Common Difference a Polygonal Number
  • Lenny Jones and Tristan Phillips
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653075

• A44: Characterization of Representation Functions
  • Charles Helou
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653079

• A45: Statistical Distribution of Roots of a Polynomial Modulo Primes
  • Yoshiyuki Kitaoka
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653086

• A46: Nested Interval Sequences of Positive Real Numbers
  • Peter J. C. Moses and Clark Kimberling
    • Select Abstract PDF Computer code
      DOI: 10.5281/zenodo.10653098

• A47: Asymptotic Analysis of Sums of Powers of Multinomial Coefficients: A Saddle Point Approach
  • Guy Louchard and Mark Daniel Ward
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653106

• A48: On the Maximal Density of Integral Sets Whose Differences Avoiding the Weighted Fibonacci Numbers
  • Anshika Srivastava, Ram Krishna Pandey, and Om Prakash
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653114

• A49: Evaluation of Convolution Sums involving the Sum of Divisors Function for Levels 48 and 64
  • Ebénézer Ntienjem
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653117

• A50: On Short Zero-sum Sequences Over Abelian p-groups
  • M. N. Chintamani, Prabal Paul, and R. Thangadurai
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653124

• A51: Coprime Mappings on n-sets
  • Bayley Larsen, Hunter Lehmann, Andrew Park, and Leanne Robertson
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653132

• A52: Primes in Shifted Sums of Lucas Sequences
  • Lenny Jones and Lawrence Somer
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653145

• A53: A Digit Reversal Property for Stern Polynomials
  • Lukas Spiegelhofer
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653149

• A54: When Almost All Sets Are Difference Dominated in Z/nZ
  • Anand Hemmady, Adam Lott, and Steven J. Miller
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653152

• A55: A Note on 3-free Permutations
  • Bill Correll, Jr. and Randy W. Ho
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653156

• A56: Invariant Measures for Continued Fractions With Variable Numerators
  • Fritz Schweiger
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653173

• A57: On Asymptotic Approximate Groups of Integers
  • Béla Bajnok
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653180

• A58: On the Asymptotic Behavior of Density of Sets Defined by Sum-of-digits Function in Base 2
  • Jordan Emme and Alexander Prikhod'ko
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653185

• A59: Image Partition Regularity over the Gaussian Integers
  • Dibyendu De and Subhajit Jana
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653194

• A60: Finite Representations of the Summatory Divisor Function and Ramanujan’s τ-Function
  • Michael Weba
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10653200

• A61: A New Estimate on Complexity of Binary Generalized Pseudostandard Words
  • Josef Florian and L’ubomíra Dvořáková (born Balková)
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657381

• A62: Representation of Numbers by Sums of Squares and the Forms of Type x₁²+ x₁x₂+x₂²
  • Bülent Köklüce
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657386

• A63: Concerning Partition Regular Matrices
  • Sourav Kanti Patra and Swapan Kumar Ghosh
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657396

• A64: Binomial Collisions and Near Collisions
  • Aart Blokhuis, Andries Brouwer, and Benne de Weger
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657401

Games Articles

• G1: Peg Solitaire on Caterpillars
  • Robert A. Beeler, Hannah Green, and Russell T. Harper
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657409

• G2: Variations on Narrow Dots-and-Boxes and Dots-and-Triangles
  • Adam Jobson, Levi Sledd, Susan Calcote White, and D. Jacob Wildstrom
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657411

• G3: On the Complexity and Topology of Scoring Games: of Pirates and Treasure
  • Péter Árendás, Zoltán L. Blázsik, Bertalan Bodor, and Csaba Szabó
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657417

• G4: A Position in Infinite Chess With Game Value ω⁴
  • C. D. A. Evans, Joel David Hamkins, and Norman Lewis Perlmutter
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657427

• G5: Playing End-Nim with a Muller Twist
  • David G. C. Horrocks
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10657436

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