Volume 24 (2024)
Click on an article's title to obtain its pdf.
-
A1:
Continuous Turán Numbers
-
A2:
Piecewise Syndetic Sets in \(\mathbb{N}^t\) and \(\mathbb{N}^X\)
-
A3:
The General Divisor Problem of Cusp Form Coefficients over Arithmetic Progressions
-
A4:
Algorithms and Bounds on the Sums of Powers of Consecutive Primes
-
Cathal O'Sullivan, Jonathan P. Sorenson, and Aryn Stahl
-
A5:
Groups and Monoid in the Set of Pythagorean Triples
-
A6:
A Unified Approach to \(q\)MZVs
-
A7:
Evaluating the Generalized Buchstab Function and Revisiting the Variance of the Distribution of the Smallest Components of Combinatorial Objects
-
Claude Gravel and Daniel Panario
-
A8:
Elliptic Curves over Finite Fields and Ramanujan Graphs on Two Vertices
-
A9:
On the Weakly Prime-Additive Numbers with Length 4
-
A10:
Sierpiński and Riesel Numbers in Narayana's Cow Sequence
-
Katherine Franzone and Joshua Harrington
-
A11:
On the \(a\)-Points of the \(k^{\mathrm{th}}\) Derivative of an \(L\)-Function in the Selberg Class
-
M. P. Chaudhary, Salem Guiben, Kamel Mazhouda, and Mohammed Mekkaoui
-
A12:
A Congruence Identity on Ordered Partitions Using Permutation Polynomials
-
Chandan Kumar Vishwakarma and Rajesh P. Singh
-
A13:
Locally Nilpotent Polynomials over \(\mathbb{Z}\)
-
A14:
A Note on the Decimal Expansion of Reciprocals of Mersenne Primes
-
A15:
Combinatorial Proofs of Merca's Identities Involving the Sum of Different Parts Congruent to \(r\) Modulo \(m\) in All Partitions of \(n\)
-
A16:
New Infinite Families of Congruences Modulo Powers of 2 for 2-Regular Partitions with Designated Summands
-
A17:
A Remark on Singular Duals of Moebius Maps
-
A18:
Finite Field Models of Polynomials Interpolating Fourier Coefficients of Modular Functions for Hecke Groups
-
A19:
Complexity of Natural Numbers
-
A20:
Narayana Numbers Which Are Concatenations of Two Base b Repdigits
-
Prasanta Kumar Ray and Kisan Bhoi
-
A21:
Arithmetical Self-Similar Compact Sets
-
A22:
Regular Primes, Non-Wieferich Primes, and Finite Multiple Zeta Values of Level N
-
A23:
Pseudoprimes and Fermat Numbers
-
A24:
The Structure of Base Phi Expansions
-
A25:
Finding Sums of Four Squares via Complex Continued Fractions
-
Zhaonan Wang and Yingpu Deng
-
A26:
Expressing an Integer as a Sum of Cubes of Polynomials
-
A27:
On the 2-Adic Valuation of Differences of Harmonic Numbers
-
A28:
On Higher Moments of Dirichlet Coefficients Attached to Symmetric Power L-Functions Over Certain Sequences of Positive Integers
-
A29:
The Euclidean Algorithm as a Sequence of Modular Inverse Switching Formulas
-
A30:
Integer Group Determinants for \(\mathrm{C}_{4}^{2}\)
-
Yuka Yamaguchi and Naoya Yamaguchi
-
A31:
Primitive Pythagorean Triangles with Sides of Certain Forms
-
Yangcheng Li and Yong Zhang
-
A32:
A Conjecture of Chu et al. and a New Family of MSTD Sets
-
Manish Kumar, Mohan, and Ram Krishna Pandey
-
A33:
Mean Values of the Product of an Integer and Its Modular Inverse
-
Olivier Bordellès and László Tóth
-
A34:
Effective Estimates for Some Functions Defined over Primes
-
A35:
Arndt Compositions: A Generating Functions Approach
-
Daniel F. Checa and José L. Ramírez
-
A36:
Period Lengths Modulo n and Average of Terms of Second Order Linear Recurrences
-
Michal Křížek and Lawrence Somer
-
A37:
Lower Rational Approximations and Farey Staircases
-
A38:
On Unit-Weighted Zero-Sum Constants of \(\mathbb{Z}_n\)
-
Santanu Mondal, Krishnendu Paul, and Shameek Paul
-
A39:
Congruences Relating Regular Partition Functions, a Generalized Tau Function, and Partition Function Weighted Composition Sums
-
S. Sriram and A. David Christopher
-
A40:
On a Formula and Some Properties of Carmichael Indices
-
Atsushi Yamagami and Youichi Inaba
-
A41:
Generalized Degenerate Harmonic Numbers and Their Applications with Riordan Arrays
-
Ömer Duran, Neşe Ömür, and Sibel Koparal
-
A42:
Maker-Breaker Rado Games for Equations with Radicals
-
Collier Gaiser and Paul Horn
-
A43:
Series of Height One Multiple Zeta Functions
-
A44:
Enumerating k-Naples Parking Functions through Catalan Objects
-
João Pedro Carvalho, Pamela E. Harris, Gordon Rojas Kirby, Nico Tripeny, and Andrés R. Vindas Meléndez
-
A45:
New Series Representations for the Riemann Zeta Function and Its Associated Functions
-
Anthony Sofo and Junesang Choi
-
A46:
Elementary Symmetric Functions and Deep Power-Sum Congruences
-
Samuele Anni, Alexandru Ghitza, and Anna Medvedovsky
-
A47:
Another Topological Proof of the Infinitude of Prime Numbers
-
A48:
Under What Conditions on the Exponents Does \(x^{m} + y^{n} = z^{r}\) Have Solutions?
-
A49:
On a Model of \(([k];p;s)\)-Generalized Padovan-Perrin and Fibonacci Fundamental System
-
Elen Viviani Pereira Spreafico, Mustapha Rachidi, and Paula Maria Machado Cruz Catarino
-
A50:
Classification for Existence of the Continued Fraction Expansions of \(\sqrt{D}\) and \((1+\sqrt{D})/2\)
-
A51:
Proof of Irvine’s Conjecture via Mechanized Guessing
-
A52:
Möbius Maps and Continued Fractions
-
A53:
Lexicographically Minimal Extension of a Finite Binomid Index
-
Jonathan Caalim and Yu-ichi Tanaka
-
A54:
The Distribution of the Number of Fixed Points in k-Permutations
-
A55:
The Log Moments of Smallest Denominators
-
A56:
Casting Light on Integer Partitions
-
Aubrey Blecher, Arnold Knopfmacher, and Michael Mays
-
A57:
Sums of Distinct Eisenstein Primes
-
A58:
Weighted File Placements on Singleton Boards
-
A59:
Asymptotic Products of Binomial and Multinomial Coefficients Revisited
-
A60:
The Integer Decomposition Property and Weighted Projective Space Simplices
-
Bejamin Braun, Robert Davis, Derek Hanely, Morgan Lane, and Liam Solus
-
A61:
On 2-Near Perfect Numbers
-
Vedant Aryan, Dev Madhavani, Savan Parikh, Ingrid Slattery, and Joshua Zelinsky
-
A62:
Large Zsigmondy Primes
-
A63:
Farey Fractions with Equal Numerators and the Rank of Unit Fractions
-
A64:
On the Equation \((-1)^\alpha p^x+(-1)^\beta (2^k(2p-1))^y=z^2\) for Prime Pairs \((p, 2p-1)\)
-
A65:
On the Distribution of \(\phi(\sigma(n))\)
-
Anup B. Dixit and Saunak Bhattacharjee
-
A66:
Explicit Improvements to the Burgess Bound via Pólya--Vinogradov
-
Matteo Bordignon and Forrest J. Francis
-
A67:
Metrical Properties of Functions of Consecutive Digits in Lüroth Series
-
Dmitry Kleinbock and Yuqing Zhang
-
A68:
On the Diophantine Equation \(n^x+(5p)^y=z^2\)
-
A69:
On Minimum-Base Palindromic Representations of Powers of 2
-
Donald L. Kreher and Douglas R. Stinson
-
A70:
On Hypersequences of an Arbitrary Sequence and Their Weighted Sums
-
A71:
On an Irreducibility Question Concerning Palindromic Non-cyclotomic 0,1-Polynomials
-
Pradipto Banerjee and Amit Kundu
-
A72:
\( F_4 F_5^6 F_7 F_8^4 F_9 F_{10}^2 F_{12}^5 F_{14} F_{15}^{-1} F_{18} F_{24} F_{30}=36!\)
-
A73:
Sums of Products of Binomial Coefficients Mod 2 and 2-Regular Sequences
-
Narad Rampersad and Max Wiebe
-
A74:
An Analogue to the Infinitary Hales-Jewett Theorem
-
Aninda Chakraborty and Sayan Goswami
-
A75:
Weighted Summation of Dirichlet Convolutions and Applications to Some Divisor Problems over k-Free and B-Free Integers
-
A76:
Inversion Sequences Avoiding a Set of Length-3 Patterns
-
A77:
A Generalization of the Landen Connection Formula and Generalized Poly-Bernoulli Numbers
-
A78:
Walking to Infinity Along Some Number Theory Sequences
-
Steven J. Miller, Fei Peng, Tudor Popescu, Joshua M. Siktar, and Nawapan Wattanawanichkul
-
A79:
New Congruences for Partitions Where the Even Parts Are Distinct
-
A80:
Divisibility Properties for Overcubic Partition Triples
-
S. Shivaprasada Nayaka, B. N. Dharmendra, and M. C. Mahesh Kumar
-
A81:
Some Direct and Inverse Problems for the Restricted Signed Sumset in the Set of Integers
-
Mohan, Raj Kumar Mistri, and Ram Krishna Pandey
-
A82:
The Log-Behavior of Some Sequences Related to the Generalized Leonardo Numbers
-
A83:
A Heuristic for Discrete Mean Values of the Derivatives of the Riemann Zeta Function
-
Christopher Hughes, Greg Martin, and Andrew Pearce-Crump
-
A84:
Alternating Sums in the Generalized Hyperbolic Pascal Triangle
-
Hacène Belbachir, Fella Rami, and László Szalay
-
A85:
Analytic Continuation of the \(\ell\)-Generalized Fibonacci Zeta Function
-
Nabin Kumar Meher and Dilip Kumar Sahoo
-
A86:
Congruences for \(\ell\)-Regular Tripartitions for \(\ell \in \{ 2,3 \} \)
-
Mohammed L. Nadji and Moussa Ahmia
-
A87:
Wilson's Theorem Modulo \(p^2\) Derived from Faulhaber Polynomials
-
A88:
A Method for Finding All Permutiples with a Fixed Set of Digits from a Single Known Example
-
A89:
Sparse Admissible Sets and a Problem of Erdős and Graham
-
A90:
Permutation Polynomials of the Form \(\sum_{n=1}^k h(n) X^n\)
-
Zhiguo Ding and Michael E. Zieve
-
A91:
Runs of Integers with Constant Values of the Carmichael Function
-
Noah Lebowitz-Lockard and J.C. Saunders
-
A92:
On the Brocard-Ramanujan Equation with Tribonacci and Tetranacci Numbers
-
A93:
Thresholds for Zero-Sums with Small Cross Numbers in Abelian Groups
-
Neal Bushaw and Glenn Hurlbert
-
A94:
A Binary Version of the Mahler-Popken Complexity Function
-
A95:
A Study on Generalized Zumkeller Numbers
-
Jayanta Kalita and Helen K. Saikia
-
A96:
On The Minimum Cardinality of MPTQ Sets
-
Anupriya Shetty and B. R. Shankar
-
A97:
Carmichael Numbers with a Prime Number of Prime Factors
-
A98:
No New Goormaghtigh Primes up to 10700
GAMES ARTICLES
-
G1:
On Remoteness Functions of Exact Slow k-NIM with k+1 Piles
-
Vladimir Gurvich, Denis Martynov, Vladislav Maximchuk, and Michael Vyalyi
-
G2:
On Winning Strategies in Sylver Coinage When 4 Has Been Chosen
-
Morgan Boyers, Natalie Burton, Jeff Rushall, James Warner, and Tara Zurick
-
G3:
Olympic Games: Three Impartial Games with Infinite Octal Codes
-
Michael Fisher, Keith Hazen, and Craig Tennenhouse
-
G4:
Cycle Games on Graphs
-
Zachary Gates, Drake Hayes, Robert Kelvey, Will Lillis, and Minh Phan