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Volume 19 (2019)

• A1: A Note on the Permutation Behaviour of the Polynomial g_n,q
  • Neranga Fernando
    • PDF Abstract
      DOI: 10.5281/zenodo.10688498

• A2: Complementary Families of the Fibonacci-Lucas Relations
  • Ivica Martinjak and Helmut Prodinger
    • PDF Abstract
      DOI: 10.5281/zenodo.10688506

• A3: Triangular Ramsey Numbers
  • Zachary Chaney, Jed Menard, Connor Mattes, and Timothy Trujillo
    • PDF Abstract
      DOI: 10.5281/zenodo.10688510

• A4: Finite Searches, Chowla's Cosine Problem, and Large Newman Polynomials
  • Idris Mercer
    • PDF Abstract
      DOI: 10.5281/zenodo.10688515

• A5: Some New Examples of Infinite Image Partition Regular Matrices
  • Neil Hindman and Dona Strauss
    • PDF Abstract
      DOI: 10.5281/zenodo.10688559

• A6: On Generalized Derangements and Some Orthogonal Polynomials
  • István Mező, José L. Ramírez, and Chen-Ying Wang
    • PDF Abstract
      DOI: 10.5281/zenodo.10688562

• A7: Divisibility Properties of Coefficients of Modular Functions in Genus Zero Levels
  • Victoria Iba, Paul Jenkins, and Merrill Warnick
    • PDF Abstract
      DOI: 10.5281/zenodo.10705010

• A8: Parity Sequences of the 3x+1 Map on the 2-adic Integers and Euclidean Embedding
  • Olivier Rozier
    • PDF Abstract
      DOI: 10.5281/zenodo.10705023

• A9: Determinantal Expressions for Bernoulli Polynomials
  • Takashi Agoh
    • PDF Abstract
      DOI: 10.5281/zenodo.10705033

• A10: Elliptic Curves Arising From the Triangular Numbers
  • Abhishek Juyal, Shiv Datt Kumar, and Dustin Moody
    • PDF Abstract
      DOI: 10.5281/zenodo.10705060

• A11: Positive-definite Quadratic Forms Representing Finite Sets of Integers
  • Liang Sun
    • PDF Abstract
      DOI: 10.5281/zenodo.10705074

• A12: On Algorithms to Calculate Integer Complexity
  • Katherine Cordwell, Alyssa Epstein, Anand Hemmandy, Steven J. Miller, Eyvindur Palsson, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu
    • PDF Abstract
      DOI: 10.5281/zenodo.10705084

• A13: On Congruences Involving Some Fibonomial Coefficients
  • Gérsica Freitas, José Othon Lopes, and Diego Marques
    • PDF Abstract
      DOI: 10.5281/zenodo.10705105

• A14: On Binomial Coefficients Modulo Squares of Primes
  • Darij Grinberg
    • PDF Abstract
      DOI: 10.5281/zenodo.10705125

• A15: Gibonacci Extensions of a Lucas Delight
  • Thomas Koshy
    • PDF Abstract
      DOI: 10.5281/zenodo.10705133

• A16: Estimating the Density of the Abundant Numbers
  • Dominic Klyve, Melissa Piddle, and Kathryn E. Temple
    • PDF Abstract
      DOI: 10.5281/zenodo.10705143

• A17: A Combinatorial Proof of an Ordered-partition Expansion of Determinants Given by Insko, Johnson and Sullivan
  • Sajal Kumar Mukherjee and A. K. Bhuniya
    • PDF Abstract
      DOI: 10.5281/zenodo.10705157

• A18: Polychromatic Colorings on the Integers
  • Maria Axenovich, John Goldwasser, Bernard Lidický, Ryan R. Martin, David Offner, John Talbot, and Michael Young
    • PDF Abstract
      DOI: 10.5281/zenodo.10705168

• A19: Prime Power Divisors of Mersenne Numbers and Wieferich Primes of Higher Order
  • Ladislav Skula
    • PDF Abstract
      DOI: 10.5281/zenodo.10705192

• A20: Integers Which Cannot Be Partitioned Into an Even Number of Consecutive Parts
  • José Manuel Rodríguez Caballero
    • PDF Abstract
      DOI: 10.5281/zenodo.10705210

• A21: Perfect Numbers and Fibonacci Primes II
  • Tianxin Cai, Liuquan Wang, and Yong Zhang
    • PDF Abstract
      DOI: 10.5281/zenodo.10705225

• A22: Lower Bounds for Numbers With Three Prime Factors
  • Paul Kinlaw
    • PDF Abstract
      DOI: 10.5281/zenodo.10705238

• A23: Short Proofs of Euler-type Identities for Compositions
  • Yu-Hong Guo
    • PDF Abstract
      DOI: 10.5281/zenodo.10705252

• A24: Minimum Coprime Labelings for Operations on Graphs
  • John Asplund and N. Bradley Fox
    • PDF Abstract
      DOI: 10.5281/zenodo.10705264

• A25: Partitions Related to Positive Definite Binary Quadratic Forms
  • Alexander E Patkowski
    • PDF Abstract
      DOI: 10.5281/zenodo.10705287

• A26: Explicit Expressions for the Moments of the Size of an (n,dn-1)-core Partition With Distinct Parts
  • Anthony Zaleski
    • PDF Abstract
      DOI: 10.5281/zenodo.10705306

• A27: Cycles in the Coprime Hypergraph of Integers
  • Jan-Hendrik de Wiljes
    • PDF Abstract
      DOI: 10.5281/zenodo.10705319

• A28: Some Explicit Formulas for Euler-Genocchi Polynomials
  • H. Belbachir and S. Hadj-Brahim
    • PDF Abstract
      DOI: 10.5281/zenodo.10705327

• A29: Lonely Runner Polyhedra
  • Matthias Beck, Serkan Hoşten, and Matthias Schymura
    • PDF Abstract
      DOI: 10.5281/zenodo.10705348

• A30: Invariant Measures for New Classes of Piecewise Fractional Linear Maps
  • Fritz Schweiger
    • PDF Abstract
      DOI: 10.5281/zenodo.10705368

• A31: An Observation of Rankin on Hankel Determinants
  • Oscar E. González
    • PDF Abstract
      DOI: 10.5281/zenodo.10705379

• A32: Augmented Hilbert Series of Numerical Semigroups
  • Jeske Glenn, Christopher O'Neill, Vadim Ponomarenko, and Benjamin Sepanski
    • PDF Abstract
      DOI: 10.5281/zenodo.10705395

• A33: Primes p ≡ 1 mod d and a^(p-1)/d ≡ 1 mod p
  • Peng Gao and Liangyi Zhao
    • PDF Abstract
      DOI: 10.5281/zenodo.10709645

• A34: Additive Volume of Sets Contained in Few Arithmetic Progressions
  • Gregory A. Freiman, Oriol Serra, and Christoph Spiegel
    • PDF Abstract
      DOI: 10.5281/zenodo.10709663

• A35: Quasiperfect Numbers With the Same Exponent
  • Tomohiro Yamada
    • PDF Abstract
      DOI: 10.5281/zenodo.10709677

• A36: The Unit Structure in a Quotient Ring of a Quadratic Number Field
  • Brian D. Sittinger and Marina C. Morales
    • PDF Abstract
      DOI: 10.5281/zenodo.10709689

• A37: On Exactly k-deficient-perfect Numbers
  • FengJuan Chen
    • PDF Abstract
      DOI: 10.5281/zenodo.10709715

• A38: Inversion of Two Cyclotomic Matrices
  • Kurt Girstmair
    • PDF Abstract
      DOI: 10.5281/zenodo.10709725

• A39: On a Diophantine Equation With Three Prime Variables
  • Min Zhang and Jinjiang Li
    • PDF Abstract
      DOI: 10.5281/zenodo.10709737

• A40: An Alternative Proof of Melham's Identities
  • George Humby
    • PDF Abstract
      DOI: 10.5281/zenodo.10709756

• A41: Tetrahedron Trinomial Coefficient Transform
  • László Németh
    • PDF Abstract
      DOI: 10.5281/zenodo.10709767

• A42: A Sum Involving the Greatest-Integer Function
  • David Ross Richman
    • PDF Abstract
      DOI: 10.5281/zenodo.10709780

• A43: A New Approach to the Fraenkel Conjecture for Low n Values
  • Ofir Schnabel and Jamie Simpson
    • PDF Abstract
      DOI: 10.5281/zenodo.10709788

• A44: The Mean Value of a Hybrid Arithmetic Function Associated to Fourier Coefficieints of Cusp Forms
  • Linli Wei and Huixue Lao
    • PDF Abstract
      DOI: 10.5281/zenodo.10709804

• A45: Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms
  • Greg Doyle, Joseph B. Muskat, Lerna Pehlivan, and Kenneth S. Williams
    • PDF Abstract
      DOI: 10.5281/zenodo.10709818

• A46: Motzkin Paths With a Restricted First Return Decomposition
  • Jean-Luc Baril, Sergey Kirgizov, and Armen Petrossian
    • PDF Abstract
      DOI: 10.5281/zenodo.10709837

• A47: An Extension of a Formula of Jovovic
  • Shane Chern
    • PDF Abstract
      DOI: 10.5281/zenodo.10709856

• A48: On a Result of Bambah and Chowla
  • Peter Shiu
    • PDF Abstract
      DOI: 10.5281/zenodo.10709868

• A49: Power Sum Polynomials as Relaxed EGZ Polynomials
  • Tanbir Ahmed, Arie Bialostocki, Thang Pham, and Le Anh Vinh
    • PDF Abstract
      DOI: 10.5281/zenodo.10709877

• A50: The Finiteness Property for Shift Radix Systems With General Parameters
  • Attila Pethő, Jörg Thuswaldner, and Mario Weitzer
    • PDF Abstract
      DOI: 10.5281/zenodo.10709898

• A51: Hecke Groups, Linear Recurrences, and Kepler Limits
  • Barry Brent
    • PDF Abstract
      DOI: 10.5281/zenodo.10709916

• A52: Generalized Cosecant Numbers and the Hurwitz Zeta Function
  • Victor Kowalenko
    • PDF Abstract
      DOI: 10.5281/zenodo.10709930

• A53: A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation
  • Ramin Naimi and Eric Sundberg
    • PDF Abstract
      DOI: 10.5281/zenodo.10709940

• A54: Symmetric Primes Revisited
  • William Banks, Paul Pollack, and Carl Pomerance
    • PDF Abstract
      DOI: 10.5281/zenodo.10709951

• A55: Repdigits as Sums of Two Fibonacci Numbers and Two Lucas Numbers
  • Benedict Vasco Normenyo, Bir Kafle, and Alain Togbé
    • PDF Abstract
      DOI: 10.5281/zenodo.10709963

• A56: The Limit Distribution of the Middle Prime Factors of an Integer
  • Jean-Marie De Koninck, Nicolas Doyon, and Vincent Ouellet
    • PDF Abstract
      DOI: 10.5281/zenodo.10709972

• A57: Complex Cantor Series, Cantor Products and Their Independence
  • Takao Komatsu, Vichian Laohakosol, and Jittinart Rattanamoong
    • PDF Abstract
      DOI: 10.5281/zenodo.10709980

• A58: Power Maps in Finite Groups
  • Matt Larson
    • PDF Abstract
      DOI: 10.5281/zenodo.10709995

• A59: Approaching Cusick's Conjecture on the Sum-of-digits Function
  • Lukas Spiegelhofer
    • PDF Abstract
      DOI: 10.5281/zenodo.10716958

• A60: Infinite Families of Partitions Into MSTD Subsets
  • Hùng Việt Chu, Noah Luntzlara, Steven J. Miller, and Lily Shao
    • PDF Abstract
      DOI: 10.5281/zenodo.10716964

• A61: Primes p Having at Most One Divisor of p-1 of a Specified Multiplicative Order
  • Peter Fletcher and Camron Withrow
    • PDF Abstract
      DOI: 10.5281/zenodo.10716990

• A62: Euler-type Recurrence Relation for Arbitrary Arithmetical Function
  • A. David Christopher
    • PDF Abstract
      DOI: 10.5281/zenodo.10717005

• A63: On p-adic Properties of Some Fibonacci and Lucas Numbers
  • Tamás Lengyel
    • PDF Abstract
      DOI: 10.5281/zenodo.10717017

• A64: Continued Fractions of Certain Series
  • Jittinart Rattanamoong and Tuangrat Chaichana
    • PDF Abstract
      DOI: 10.5281/zenodo.10717037

• A65: Alternative Solutions to Linear Recurrence Equations
  • Martin W. Bunder
    • PDF Abstract
      DOI: 10.5281/zenodo.10717061

• A66: On the Structure of Sets Which Have Coinciding Representation Functions
  • Sándor Z. Kiss and Csaba Sándor
    • PDF Abstract
      DOI: 10.5281/zenodo.10717083

• A67: Cardinality of a Floor Function Set
  • Randell Heyman
    • PDF Abstract
      DOI: 10.5281/zenodo.10717121

Games Articles

• G1: Sprague-Grundy Values of Modular Nim
  • David G. C. Horrocks and Jonathan H. Horrocks
    • PDF Abstract
      DOI: 10.5281/zenodo.10717147

• G2: A Diophantine Problem Related to a Nim-like Game
  • Jö Steuding and Klaus Volkert
    • PDF Abstract
      DOI: 10.5281/zenodo.10717175

• G3: Connected Subtraction Games on Subdivided Stars
  • Antoine Dailly, Julien Moncel, and Aline Parreau
    • PDF Abstract
      DOI: 10.5281/zenodo.10717203

• G4: Games on Arbitrarily Large Rats and Playability
  • Aviezri S. Fraenkel and Urban Larsson
    • PDF Abstract
      DOI: 10.5281/zenodo.10717226

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