Volume 23 (2023)
Click on an article's title to obtain its pdf.
-
A1:
Order Types of Shifts of Morphic Words
-
A2:
Arithmetic Properties For Overpartition Triples with Odd Parts
-
Rinchin Drema and Nipen Saikia
-
A3:
Pairwise Modular Multiplicative Inverses and Fibonacci Numbers
-
A4:
Sums of Three Fibonacci Numbers Close to a Power of 2
-
Bibhu Prasad Tripathy and Bijan Kumar Patel
-
A5:
Odd Deficient-Perfect Numbers with Four Distinct Prime Factors
-
Shichun Yang and Alain Togbé
-
A6:
Discrete Measures and the Riemann Hypothesis of Some L-Function in the Selberg Class
-
M. P. Chaudhary, Kamel Mazhouda, and Mohammed Mekkaoui
-
A7:
On Leonardo p-Numbers
-
Elif Tan and Ho-Hon Leung
-
A8:
Units from Square Roots of Rational Numbers
-
A9:
A Bijection for Partitions Simultaneously s-Regular and t-Distinct
-
A10:
Two Identities for Complex Numbers with Applications to Special Sequences and Functions
-
Horst Alzer and Man Kam Kwong
-
A11:
Recurrences in Terms of Special Polynomials for Exponential Sums of Elementary Symmetric Polynomials over Finite Fields
-
Axel O. Gómez-Flores, Luis A. Medina, Luisiany Pomales, and Carlos F. Santiago-Calderón
-
A12:
Proofs of Chappelon and Ramírez Alfonsín Conjectures on Square Frobenius Numbers and Their Relationship to Simultaneous Pell Equations
-
A13:
On the Small Prime Factors of a Non-deficient Number
-
A14:
On the Almkvist--Meurman Theorem for Bernoulli Polynomials
-
A15:
Line Sidon Sets
-
Miriam Patry and Audie Warren
-
A16:
The Average Behavior of a Hybrid Arithmetic Function Involving Hecke Eigenvalues
-
Guodong Hua, Bin Chen, and Rong Miao
-
A17:
The Distributions of High Moments of Cusp Form Coefficients over Arithmetic Progressions
-
Guodong Hua, Bin Chen, and Rong Miao
-
A18:
On The Partition Regularity of \(ax+by = cw^mz^n\)
-
Sohail Farhangi and Richard Magner
-
A19:
The Reciprocals of Tails of the Alternating Riemann Zeta Function
-
A20:
On a Relation between Schreier-Type Sets and a Modification of Turán Graphs
-
A21:
New Formulas for the Riemann Zeta Function
-
Aditya Akula and Ghaith Hiary
-
A22:
Finding a Widely Digitally Delicate Prime
-
A23:
Extremal Sequences for the Unit-Weighted Gao Constant of \(\mathbb{Z}_n\)
-
Santanu Mondal, Krishnendu Paul, and Shameek Paul
-
A24:
Relating Fibonacci Numbers to the Infinitudes of Certain Primes
-
John P. Georges, David W. Mauro, and Yan Wang
-
A25:
Families of Modular Arithmetic Progressions with an Interval of Distance Multiplicities
-
Peter J. Dukes and Tao Gaede
-
A26:
Raw Moments and Entropy Associated with the Last Part in a Composition
-
Meenakshi Rana and Abhimanyu Kumar
-
A27:
Quadrinomial-Like Versions for Wolstenholme, Morley and Glaisher Congruences
-
Hacène Belbachir and Yassine Otmani
-
A28:
A Characterization of Primes Based on Eulerian Numbers
-
A29:
Exceptional Sets for Spinor-Regular Ternary Quadratic Forms
-
A30:
Some 2-Adic Conjectures Concerning Polyomino Tilings of Aztec Diamonds
-
A31:
On the Equation \(\sigma^*(n)=1+Mn\)
-
A32:
Cyclemaster Matrices and Primality Testing
-
Marcin Mazur and Stephen M. Zemyan
-
A33:
A Probabilistic Proof that \(\sum_{j=1}^{n}H_j^{(s)}=(n+1)H_n^{(s)}-H_n^{(s-1)}\)
-
A34:
Integral Representations of Catalan Numbers and Sums Involving Central Binomial Coefficients
-
Bai-Ni Guo and Dongkyu Lim
-
A35:
Doubling Constant for Subgroups of \(\mathbb Z_p^*\)
-
Albert Cochrane, Todd Cochrane, and Craig Spencer
-
A36:
Prime Divisors of \(a^{n}-b^{n}\)
-
A37:
Wang-Sun Formula in \(\overrightarrow{GL}(\mathbb{Z}/2k\mathbb{Z})\)
-
Octavio A. Agustín-Aquino
-
A38:
Extensions of Sury's Relation Involving Fibonacci k-step and Lucas k-step Polynomials
-
Chan-Liang Chung, Jialing Yao, and Kanglun Zhou
-
A39:
The Triangle Algorithm for Bernoulli Polynomials
-
Naho Kawasaki and Yasuo Ohno
-
A40:
A Note on the Number of Representations of a Positive Integer as a Sum of Generalized Polygonal Numbers
-
Subhajit Bandyopadhyay and Nayandeep Deka Baruah
-
A41:
A Jacobi Symbol Criterion Involving k-Fibonacci and k-Lucas Numbers and Integer Points on Elliptic Curves
-
Gérsica Freitas, Jean Lelis, and Elaine Silva
-
A42:
Gaps in Intervals of N-Expansions
-
Jaap de Jonge and Cor Kraaikamp
-
A43:
Partitions with Designated Summands Not Divisible by \(2^\ell\), 2 and \(3^\ell\) Modulo 2, 4, and 3
-
Daniel Herden, Mark R. Sepanski, Jonathan Stanfill, Cordell C. Hammon, Joel Henningsen, Henry Ickes, and Indalecio Ruiz
-
A44:
Proof of a Conjecture of Krawchuk and Rampersad on the Cyclic Complexity of the Thue-Morse Sequence
-
A45:
On the Nonintegrality of Certain Generalized Binomial Sums
-
A46:
Significant Digits of Primes in Subsets
-
A47:
Rainbow Numbers of \([m] \times [n]\) for \(x_1+x_2 = x_3\)
-
Kean Fallon, Ethan Manhart, Joe Miller, Hunter Rehm, Nathan Warnberg, and Laura Zinnel
-
A48:
Lattice Equable Quadrilaterals III: Tangential and Extangential Cases
-
Christian Aebi and Grant Cairns
-
A49:
Extremal Sequences Related to the Jacobi Symbol
-
Santanu Mondal, Krishnendu Paul, and Shameek Paul
-
A50:
On Ratios of Consecutive Prime Gaps
-
A51:
There Is No Carmichael Number of the Form \(2^n p^2+1\) with \(p\) Prime
-
Florian Luca and Jean Lucien Randrianantenaina
-
A52:
On the Integer Solutions of the Diophantine Equation \((x+y+z)^2=xyw\)
-
Heli Duan and Yangcheng Li
-
A53:
Two Pairs of Biquadrates with Equal Sums
-
A54:
A Canonical Coloring Theorem for Piecewise Syndetic Subsets of \(\mathbb{N}\)
-
A55:
\(p\)-Adic Valuation of \(\prod_{k=m+1}^{n} (k^2-m^2)\)
-
Chang-Kun Jia and Chuan-Ze Niu
-
A56:
Periodicity and the Index of Integer Partitions
-
A57:
Divisibility Properties for Integer Sequences
-
A58:
Limiting Behavior in Growth of Bulgarian Solitaire Orbits
-
A59:
Theta-Function Identities, Explicit Values for Ramanujan's Continued Fractions of Order Sixteen and Applications to Partition Theory
-
Shraddha Rajkhowa and Nipen Saikia
-
A60:
Rational Ehrhart Theory
-
Matthias Beck, Sophia Elia, and Sophie Rehberg
-
A61:
Miscellaneous Series Identities with Cauchy and Harmonic Numbers, and Their Interpretation as Ramanujan Summation
-
A62:
Resolution of Mathar's Conjectures on Counting Power Residues
-
A63:
Sums of Distinct Polynomial Residues
-
Carrie Finch-Smith, Joshua Harrington, and Tony W. H. Wong
-
A64:
On \(abc\) Triples of the Form \((1,c-1,c)\)
-
Elise Alvarez-Salazar, Alexander J. Barrios, Calvin Henaku, and Summer Soller
-
A65:
A Remark on Fine's Arithmetic Functions
-
A66:
Coprime Mappings on Gaussian Lines
-
Elise Carlos, Nestor Iwanojko, Reece Keller, and Leanne Robertson
-
A67:
A Note on Public Key Cryptography Based on Williams-Guy Functions
-
A68:
On Some Results on Practical Numbers
-
Sai Teja Somu, Ting Hon Stanford Li, and Andrzej Kukla
-
A69:
Transcendence of Some Power Series in Function Fields
-
Natthaphong Chitmung, Tuangrat Chaichana, and Sureeporn Chaopraknoi
-
A70:
Local Differences Determined by Convex Sets
-
Krishnendu Bhowmick, Miriam Patry, and Oliver Roche-Newton
-
A71:
On the Riemann Hypothesis and the Dedekind Psi Function
-
Arturo Carpi and Valerio D'Alonzo
-
A72:
An Alternative Approach to Computing \(\beta(2k+1)\)
-
Naomi Tanabe and Nawapan Wattanawanichkul
-
A73:
Coloring and Boundary Invariants for Polyominoes
-
A74:
A Dombi Counterexample with Positive Lower Density
-
A75:
Consecutive Primes Which Are Widely Digitally Delicate and Brier Numbers
-
Michael Filaseta, Jacob Juillerat, and Thomas Luckner
-
A76:
A Note on the Exponential Diophantine Equation \((44m^2+1)^x+(5m^2-1)^y=(7m)^z\)
-
A77:
Some Congruences for Regular Partitions with Distinct Odd Parts
-
A78:
Inversion Sequences Avoiding Quadruple Length-3 Patterns
-
David Callan and Toufik Mansour
-
A79:
On Inequalities Involving Counts of the Prime Factors of an Odd Perfect Number
-
Graeme Clayton and Cody Hansen
-
A80:
A Unified Generalization of Touchard and Fubini Polynomial Extensions
-
Joseé A. Adell and Sithembele Nkonkobe
-
A81:
Stirling Numbers and the Partition Method for a Power Series Expansion
-
A82:
On Natural Leaping Convergents of Regular Continued Fractions and an Application to Linear Fractional Transformations
-
Carsten Elsner and Christopher Robin Havens
-
A83:
A New Class of Ordinary Generating Functions for Binary Products of Mersenne Numbers and Gaussian Numbers with Parameters \(p\) and \(q\)
-
Nabiha Saba, Ali Boussayoud, Serkan Araci, and Mohamed Kerada
-
A84:
Lucas Type Sequences and Sums of Binomial Coefficients
-
A85:
Prime Density of Lehmer Sequences
-
A86:
Existence of Cycles in Ducci’s Four-Number Game with Modular Multiplication
-
Tasha Fellman and Dominic Klyve
-
A87:
Integer Sequences with Regularly Varying Counting Functions Have Power-law Variance Functions
-
A88:
A Probabilistic Proof of a Recursion Formula for Sums of Integer Powers
-
A89:
A Note on the Number of Egyptian Fractions
-
Noah Lebowitz-Lockard and Victor Souza
-
A90:
Compositions That Are Palindromic Modulo m
-
A91:
Fixed Divisors of Products of Polynomials
-
A92:
Harmonic Numbers: Combinatorial Identities and Series Representations
-
Horst Alzer and Péter Kórus
-
A93:
On an Exponential Power Sum
-
Neha Elizabeth Thomas and K Vishnu Namboothiri
-
A94:
Dirichlet Convolution and the Binet Formula
-
Emil Daniel Schwab and Gabriela Schwab
-
A95:
Lots and Lots of Perrin-Type Primality Tests and Their Pseudo-Primes
-
Robert Dougherty-Bliss and Doron Zeilberger
-
A96:
On Means of Near Continued Fractions
-
A97:
Distribution of 3-Regular and 5-Regular Partitions
-
A98:
Some Variations of q-Analogues of Sun and Tauraso's Congruence
-
A99:
On Proofs of Generalized Knuth's Old Sum
-
Akalu Tefera and Aklilu Zeleke
GAMES ARTICLES