Volume 19 (2019)
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A1:
A Note on the Permutation Behaviour of the Polynomial gn,q
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A2:
Complementary Families of the Fibonacci-Lucas Relations
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Ivica Martinjak and Helmut Prodinger
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A3:
Triangular Ramsey Numbers
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Zachary Chaney, Jed Menard, Connor Mattes, and Timothy Trujillo
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A4:
Finite Searches, Chowla's Cosine Problem, and Large Newman Polynomials
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A5:
Some New Examples of Infinite Image Partition Regular Matrices
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Neil Hindman and Dona Strauss
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A6:
On Generalized Derangements and Some Orthogonal Polynomials
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István Mező, José L. Ramírez, and Chen-Ying Wang
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A7:
Divisibility Properties of Coefficients of Modular Functions in Genus Zero Levels
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Victoria Iba, Paul Jenkins, and Merrill Warnick
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A8:
Parity Sequences of the 3x+1 Map on the 2-adic Integers and Euclidean Embedding
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A9:
Determinantal Expressions for Bernoulli Polynomials
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A10:
Elliptic Curves Arising From the Triangular Numbers
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Abhishek Juyal, Shiv Datt Kumar, and Dustin Moody
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A11:
Positive-definite Quadratic Forms Representing Finite Sets of Integers
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A12:
On Algorithms to Calculate Integer Complexity
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Katherine Cordwell, Alyssa Epstein, Anand Hemmandy, Steven J. Miller, Eyvindur Palsson, Aaditya Sharma, Stefan Steinerberger, and Yen Nhi Truong Vu
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A13:
On Congruences Involving Some Fibonomial Coefficients
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Gérsica Freitas, José Othon Lopes, and Diego Marques
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A14:
On Binomial Coefficients Modulo Squares of Primes
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A15:
Gibonacci Extensions of a Lucas Delight
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A16:
Estimating the Density of the Abundant Numbers
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Dominic Klyve, Melissa Piddle, and Kathryn E. Temple
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A17:
A Combinatorial Proof of an Ordered-partition Expansion of Determinants Given by Insko, Johnson and Sullivan
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Sajal Kumar Mukherjee and A. K. Bhuniya
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A18:
Polychromatic Colorings on the Integers
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Maria Axenovich, John Goldwasser, Bernard Lidický, Ryan R. Martin, David Offner, John Talbot, and Michael Young
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A19:
Prime Power Divisors of Mersenne Numbers and Wieferich Primes of Higher Order
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A20:
Integers Which Cannot Be Partitioned Into an Even Number of Consecutive Parts
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José Manuel Rodríguez Caballero
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A21:
Perfect Numbers and Fibonacci Primes II
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Tianxin Cai, Liuquan Wang, and Yong Zhang
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A22:
Lower Bounds for Numbers With Three Prime Factors
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A23:
Short Proofs of Euler-type Identities for Compositions
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A24:
Minimum Coprime Labelings for Operations on Graphs
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John Asplund and N. Bradley Fox
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A25:
Partitions Related to Positive Definite Binary Quadratic Forms
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A26:
Explicit Expressions for the Moments of the Size of an (n,dn-1)-core Partition With Distinct Parts
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A27:
Cycles in the Coprime Hypergraph of Integers
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A28:
Some Explicit Formulas for Euler-Genocchi Polynomials
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H. Belbachir and S. Hadj-Brahim
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A29:
Lonely Runner Polyhedra
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Matthias Beck, Serkan Hoşten, and Matthias Schymura
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A30:
Invariant Measures for New Classes of Piecewise Fractional Linear Maps
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A31:
An Observation of Rankin on Hankel Determinants
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A32:
Augmented Hilbert Series of Numerical Semigroups
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Jeske Glenn, Christopher O'Neill, Vadim Ponomarenko, and Benjamin Sepanski
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A33:
Primes p ≡ 1 mod d and a(p-1)/d ≡ 1 mod p
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Peng Gao and Liangyi Zhao
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A34:
Additive Volume of Sets Contained in Few Arithmetic Progressions
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Gregory A. Freiman, Oriol Serra, and Christoph Spiegel
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A35:
Quasiperfect Numbers With the Same Exponent
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A36:
The Unit Structure in a Quotient Ring of a Quadratic Number Field
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Brian D. Sittinger and Marina C. Morales
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A37:
On Exactly k-deficient-perfect Numbers
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A38:
Inversion of Two Cyclotomic Matrices
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A39:
On a Diophantine Equation With Three Prime Variables
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Min Zhang and Jinjiang Li
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A40:
An Alternative Proof of Melham's Identities
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A41:
Tetrahedron Trinomial Coefficient Transform
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A42:
A Sum Involving the Greatest-Integer Function
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A43:
A New Approach to the Fraenkel Conjecture for Low n Values
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Ofir Schnabel and Jamie Simpson
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A44:
The Mean Value of a Hybrid Arithmetic Function Associated to Fourier Coefficieints of Cusp Forms
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A45:
Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms
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Greg Doyle, Joseph B. Muskat, Lerna Pehlivan, and Kenneth S. Williams
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A46:
Motzkin Paths With a Restricted First Return Decomposition
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Jean-Luc Baril, Sergey Kirgizov, and Armen Petrossian
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A47:
An Extension of a Formula of Jovovic
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A48:
On a Result of Bambah and Chowla
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A49:
Power Sum Polynomials as Relaxed EGZ Polynomials
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Tanbir Ahmed, Arie Bialostocki, Thang Pham, and Le Anh Vinh
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A50:
The Finiteness Property for Shift Radix Systems With General Parameters
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Attila Pethő, Jörg Thuswaldner, and Mario Weitzer
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A51:
Hecke Groups, Linear Recurrences, and Kepler Limits
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A52:
Generalized Cosecant Numbers and the Hurwitz Zeta Function
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A53:
A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation
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Ramin Naimi and Eric Sundberg
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A54:
Symmetric Primes Revisited
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William Banks, Paul Pollack, and Carl Pomerance
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A55:
Repdigits as Sums of Two Fibonacci Numbers and Two Lucas Numbers
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Benedict Vasco Normenyo, Bir Kafle, and Alain Togbé
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A56:
The Limit Distribution of the Middle Prime Factors of an Integer
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Jean-Marie De Koninck, Nicolas Doyon, and Vincent Ouellet
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A57:
Complex Cantor Series, Cantor Products and Their Independence
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Takao Komatsu, Vichian Laohakosol, and Jittinart Rattanamoong
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A58:
Power Maps in Finite Groups
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A59:
Approaching Cusick's Conjecture on the Sum-of-digits Function
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A60:
Infinite Families of Partitions Into MSTD Subsets
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Hùng Việt Chu, Noah Luntzlara, Steven J. Miller, and Lily Shao
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A61:
Primes p Having at Most One Divisor of p-1 of a Specified Multiplicative Order
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Peter Fletcher and Camron Withrow
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A62:
Euler-type Recurrence Relation for Arbitrary Arithmetical Function
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A63:
On p-adic Properties of Some Fibonacci and Lucas Numbers
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A64:
Continued Fractions of Certain Series
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Jittinart Rattanamoong and Tuangrat Chaichana
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A65:
Alternative Solutions to Linear Recurrence Equations
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A66:
On the Structure of Sets Which Have Coinciding Representation Functions
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Sándor Z. Kiss and Csaba Sándor
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A67:
Cardinality of a Floor Function Set
Games Articles
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G1:
Sprague-Grundy Values of Modular Nim
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David G. C. Horrocks and Jonathan H. Horrocks
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G2:
A Diophantine Problem Related to a Nim-like Game
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Jö Steuding and Klaus Volkert
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G3:
Connected Subtraction Games on Subdivided Stars
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Antoine Dailly, Julien Moncel, and Aline Parreau
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G4:
Games on Arbitrarily Large Rats and Playability
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Aviezri S. Fraenkel and Urban Larsson