Volume 18 (2018)
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A1:
2-adic Valuations of Generalized Fibonacci Numbers of Odd Order
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A2:
On Pattern Avoiding Indecomposable Permutations
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Alice L.L. Gao, Sergey Kitaev, and Philip B. Zhang
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A3:
The Largest Known Wieferich Numbers
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Amir Akbary and Sahar Siavashi
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A4:
Tail Of A Moebius Sum With Coprimality Conditions
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Akhilesh P. and O. Ramaré
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A5:
On Some Congruences for Andrews' Singular Overpartitions
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Uha Isnaini and Pee Choon Toh
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A6:
Arithmetic Properties of Lacunary Sums of Binomial Coefficients
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A7:
On the Slack Euler Pair for Vector Partition
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A8:
Order-Preserving Freiman Isomorphisms
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Gagik Amirkhanyan, Albert Bush, and Ernie Croot
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A9:
Isosceles Triangles in Q3
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A10:
Generalized Lerch Primes
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A11:
On Freiman's 3k-4 Theorem
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A12:
Representations by Quaternary Quadratic Forms with Coefficients 1, 3, 5, or 15
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A13:
Numbers with Three Close Factorizations and Lattice Points on Hyperbolas
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A14:
Characterization of the Strong Divisibility Property for Generalized Fibonacci Polynomials
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Rigoberto Flórez, Robinson A. Higuita, and Antara Mukherjee
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A15:
Ranges of Unitary Divisor Functions
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A16:
Optimal Point Sets Determining Few Distinct Triangles
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Alyssa Epstein, Adam Lott, Steven J. Miller, and Eyvindur A. Palsson
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A17:
Generalized Eulerian Polynomials and Some Applications
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A18:
Weakly Holomorphic Modular Forms in Prime Power Levels of Genus Zero
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Paul Jenkins and DJ Thornton
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A19:
Note on Restricted Parts in Cyclic Compositions
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Maghann Moriah Gibson, Matthew Just, and Hua Wang
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A20:
(k,l)-Universality of Ternary Quadratic Forms ax2+by2+cz2
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Lerna Pehlivan and Kenneth S. Williams
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A21:
Fixed Points of Morphisms Among Binary Generalized Pseudostandard Words
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Tereza Velká and L'ubomíra Dvořáková
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A22:
A Generalization of Congruence Properties for a Restricted Partition Function
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Brandt Kronholm and Jonathan Rehmert
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A23:
Asymptotic Expansions for the Average of the Generalized Omega Function
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A24:
Exponential Sums Over Subgroups Generated by 2
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A25:
A Cameron and Erdős Conjecture on Counting Primitive Sets
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A26:
Dirichlet's Theorem and Jacobsthal's Function
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A27:
On the Sum of Integers From Some Multiplicative Sets and Some Powers of Integers
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A28:
Memorial to Javier Cilleruelo: A Problem List
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Pablo Candela, Juanjo Rué, and Oriol Serra
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A29:
Square Classes and Divisibility Properties of Stern Polynomials
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Karl Dilcher and Hayley Tomkins
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A30:
On the Binary Digits of √2
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A31:
A Note on Finite Sums of Products of Bernstein Basis Polynomials and Hypergeometric Polynomials
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A32:
On The Limiting Distributions of the Total Height On Families of Trees
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Andrew Lohr and Doron Zeilberger
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A33:
2184: An Absurd (and Adsurd) Tale
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A34:
Binary Representations and Theta Function
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George E. Andrews and David Newman
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A35:
Nondefective Integers With Respect to Certain Lucas Sequences of the Second Kind
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Lawrence Somer and Michal Křížek
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A36:
Sums of Cubes over Odd-Index Fibonacci Numbers
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A37:
Modular Hyperbolas and the Congruence ax1x2…xk + bxk+1xk+2…x2k ≡ c mod m
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Anwar Ayyad, Todd Cochrane, and Sanying Shi
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A38:
Packing Sets over Finite Abelian Groups
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Oliver Roche-Newton, Ilya D. Shkredov, and Arne Winterhof
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A39:
Efficient Computation of Terms of Linear Recurrence Sequences of Any Order
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A40:
The Lind-Lehmer Constant for 3-groups
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Stian Clem and Christopher Pinner
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A41:
Relaxed Complete Partitions: An Error-correcting Bachet’s Problem
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Jorge Bruno and Edwin O'Shea
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A42:
A Method for Obtaining Fibonacci Identities
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A43:
Hyperharmonic Numbers Can Rarely Be Integers
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Emre Alkan, Haydar Göral, and Doğa Can Sertbaş
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A44:
Symmetric (Not Complete Intersection) Numerical Semigroups Generated by Five Elements
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A45:
Integer Complexity: Algorithms and Computational Results
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A46:
Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients
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A47:
On the Number of Hyper m-ary Partitions
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A48:
An Improvement of an Inequality of Ochem and Rao Concerning Odd Perfect Numbers
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A49:
Combinatorial Proofs of Identities of Alzer and Prodinger and Some Generalizations
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John Engbers and Christopher Stocker
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A50:
New Congruences for Overpartitions Into Odd Parts
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Chiranjit Ray and Rupam Barman
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A51:
Arithmetic of the Fabius Function
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A52:
New Estimates for Some Functions Defined Over Primes
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A53:
Large Sets of t-designs and a Ramsey-type Problem
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A54:
Les Endomorphismes de Q+* pour l’Addition des Cancres
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A55:
Major Index Over Descent for Pattern-avoiding Permutations
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A56:
On ℓ-th Order Gap Balancing Numbers
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S. S. Rout and R. Thangadurai
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A57:
The Area of the Mandelbrot Set and Zagier's Conjecture
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Patrick F. Bray and Hieu D. Nguyen
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A58:
An Exponential Limit Shape of Random q-proportion Bulgarian Solitaire
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Kimmo Eriksson, Markus Jonsson, and Jonas Sjöstrand
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A59:
On Eisenstein Primes
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A60:
On a Conjecture of De Koninick
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Min Tang and Zhi-Jun Zhou
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A61:
Estimates for π(x) for Large Values of x and Ramanujan's Prime Counting Inequality
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A62:
On a Set of Fixed Points Related to Both Fermat and Mersenne Primes
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José Manuel Rodríguez Caballero
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A63:
Simultaneous Approximations to ζ(2) and ζ(4)
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A64:
Applying Modular Arithmetic to Diophantine Equations
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A65:
On Certain Quaternary Quadratic Forms
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A66:
On Related Binomial Harmonic Identities
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A67:
On the Nested Local Postage Stamp Problem
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Edgar Federico Elizeche and Amitabha Tripathi
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A68:
The 4-Color Cubes Puzzle
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Ethan Berkove, Andrew Eickemeyer, and Michael Schulman
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A69:
Ternary Smirnov Words and Generating Functions
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A70:
On Shortened Recurrence Relations for Genocchi Numbers and Polynomials
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A71:
Robin's Inequality for New Families of Integers
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A72:
Ruth-Aaron Pairs Containing Riesel or Sierpiński Numbers
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Elliot R. Emadian, Carrie E. Finch-Smith, and Margaret G. Kallus
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A73:
Two Congruence Identities on Ordered Partitions
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Rajesh P. Singh and Mritunjay Kumar Singh
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A74:
Varga's Theorem in Number Fields
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Pete L. Clark and Lori D. Watson
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A75:
Aliquot Sequences With Small Starting Values
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A76:
Some q-binomial Identities Involving the Generalized q-Fibonacci Numbers
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A77:
When the Small Divisors of a Natural Number Are in Arithmetic Progression
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A78:
New Congruences and Finite Difference Equations for Generalized Factorial Functions
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A79:
Almost Gap Balancing Numbers
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Jeremiah Bartz, Bruce Dearden, and Joel Iiams
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A80:
Ulam Sequences and Ulam Sets
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Noah Kravitz and Stefan Steinerberger
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A81:
The Bidirectional Ballot Polytope
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Steven J. Miller, Carsten Peterson, Carsten Sprunger, and Roger Van Peski
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A82:
Density of Singular Pairs of Integers
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Roman Nedela and Carl Pomerance
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A83:
The Adjacency-Pell-Hurwitz Numbers
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Josh Hiller, Yeşim Aküzüm, and Ömür Deveci
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A84:
Powers of Two as Sums of Two Padovan Numbers
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Ana Cecilia García Lomelí and Santos Hernández Hernández
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A85:
Eta Quotients, Eisenstein Series and Elliptic Curves
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Ayşe Alaca, Şaban Alaca, and Zafer Selcuk Aygin
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A86:
On the Iterates of Digit Maps
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A87:
A Note on Fibonacci Numbers of Even Index
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A88:
An Equation Involving Arithmetic Functions and Riesel Numbers
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Joshua Harrington and Lenny Jones
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A89:
The Combinatorics of Evenly Spaced Binomial Coefficients
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Nicholas A. Loehr and T. S. Michael
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A90:
Lattice Point Visibility on Power Functions
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Pamela E. Harris and Mohamed Omar
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A91:
A Generalized Binet Formula That Counts the Tilings of a (2 x n)-board
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Reza Kahkeshani and Meysam Arab
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A92:
Positive-Definite Ternary Quadratic Forms Which are (4,1)-universal and (4,3)-universal
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Lerna Pehlivan and Kenneth S. Williams
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A93:
The Practicality of Shifted Primes
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Victor Z. Guo and Andreas Weingartner
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A94:
A Note on the Converse of Wolstenholme's Theorem
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A95:
The Denominators of Power Sums of Arithmetic Progressions
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Bernd C. Kellner and Jonathan Sondow
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A96:
The Determination of 2-color Zero-sum Generalized Schur Numbers
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Aaron Robertson, Bidisha Roy, and Subha Sarkar
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A97:
Polynomials Related to Powers of the Dedekind Eta Function
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Bernhard Heim and Markus Neuhauser
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A98:
On Ozanam's Rule
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Adam Krause and Howard Skogman
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A99:
On Diophantine Equations Involving Sums of Fibonacci Numbers and Powers of 2
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Kwok Chi Chim and Volker Ziegler
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A100:
Steinhaus Triangles Generated by Vectors of the Canonical Basis
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Josep M. Brunat and Montserrat Maureso
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A101:
On the Number of Primes for Which a Polynomial is Eisenstein
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Shilin Ma, Kevin J. McGown, Devon Rhodes, and Mathias Wanner
Games Articles
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G1:
Thinning Thickets
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Melissa Huggan and Richard J. Nowakowski
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G2:
A Maker--Breaker Game on the Boolean Hypercube With Subcubes as Winning Sets
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Klay Kruczek and Eric Sundberg
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G3:
A Vertex and Edge Deletion Game on Graphs