Volume 22 (2022)
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A1:
Two Infinite Families of Elliptic Curves with Rank Greater than One
Jeffrey Hatley and Jason Stack
A2:
Coprime Matchings
A3:
Patrolling the Border of a Striking Conjecture
A4:
Integer Circulant Determinants of Order 15
Bishnu Paudel and Chris Pinner
A5:
The Diophantine Equation \(\sum_{j=1}^{k}jF_j^p=L_n^q\)
Souleymane Nansoko, Euloge Tchammou, and A. Togbé
A6:
On Elliptic Carmichael Numbers in Arithmetic Progressions
A7:
Inverse Problems Related to Some Weighted Zero-sum Constants for Cyclic Groups
Sukumar Das Adhikari, Shruti Hedge, Md Ibrahim Molla, and Subha Sarkar
A8:
Divisibility and Arithmetic Properties of a Class of Sparse Polynomials
Karl Dilcher and Maciej Ulas
A9:
Sums of Consecutive Prime Squares
Janyarak Tongsomporn, Saeree Wananiyakul, and Jörn Steuding
A10:
Distributions of Fourier Coefficients of Cusp Forms over Arithmetic Progressions
Aiyue Zou, Huixue Lao, and Linli Wei
A11:
A Determinant of the Artin-Hasse Exponential Coefficients
A12:
An Effective Version of a Theorem of Shioda on the Ranks of Elliptic Curves Given by \(y^2=f(x)+m^2\)
A13:
Zero-sum-free Tuples and Hyperplane Arrangements
Sunil K. Chebolu and Papa A. Sissokho
A14:
Additive Representations of Natural Numbers
Forrest J. Francis and Ethan S. Lee
A15:
Minimally Intersective Polynomials with Arbitrarily Long Factorization
A16:
Fermat Numbers in Narayana's Cows Sequence
Kisan Bhoi and Prasanta Kumar Ray
A17:
Complementary Numerical Sets
Matthew Guhl, Jazmine Juarez, Vadim Ponomarenko, Rebecca Rechkin, and Deepesh Singhal
A18:
A Family of Unsplittable Minimal Zero-sum Sequences
A19:
Generalized Hyper-Fibonacci Numbers and Applications
Lyes Ait-Amrane and Djilali Behloul
A20:
Partial Sums of Horadam Sequences: Sum-free Representations via Generating Functions
A21:
The Three Gap Theorem and Periodic Functions
A. Suki Dasher, A. Hermida, and Tian An Wong
A22:
The Continued Fraction Map Composed with Fractional Linear Maps
A23:
Relations between Derangement and Factorial Numbers
A24:
Equivalence Classes of Skew Dyck Paths Modulo Some Patterns
Jean-Luc Baril, José Luis Ramírez, and Lina Maria Simbaqueba
A25:
Trace and Discriminant Criteria for a Matrix to Be a Sum of Sixth and Eighth Powers of Matrices
Rakesh Barai and Anuradha S. Garge
A26:
An Inequality for the Distribution of Numbers Free of Small Prime Factors
A27:
Finding Almost Squares VII
A28:
A Note on a Generalization of Two Well-Known Combinatorial Identities via a Hypergeometric Series Approach
Arjun K. Rathie, Insuk Kim, and Richard B. Paris
A29:
On the Diophantine Equation \(7^{x}+32^{y}=z^{2}\) and its Generalization
Padma Bhushan Borah and Mridul Dutta
A30:
An Expression for the Legendre Symbol from a Product-Sum Formula
A31:
On a Family of Cubic Thue Equations Involving Fibonacci and Lucas Numbers
Tobias Hilgart, Ingrid Vukusic, and Volker Ziegler
A32:
Sequences in Partitions
George E. Andrews, Sreerupa Bhattacharjee, and Manosij G. Dastidar
A33:
On Some Generalizations to Floor Function Identities of Ramanujan
Sai Teja Somu and Andrzej Kukla
A34:
Two Complementary Relations for the Rogers-Ramanujan Continued Fraction
A35:
A Bijection Between Symmetric Valleys in Dyck Paths and Even Degree Interval Vertices in Ordered Trees
A36:
The \(\{1,s\}\)-Weighted Davenport Constant in \(C_{n}^{k}\)
Fabio Enrique Brochero Martínez and Sávio Ribas
A37:
Additive Bases of Finite Abelian Groups of Rank 2
Weidong Gao, Yuanlin Li, Yongke Qu, and Qinghong Wang
A38:
On Primary Carmichael Numbers
A39:
Power of a 3 x 3 Matrix, Subgroups and Tiling
A40:
Two-Dimensional, Three-Dimensional and n -Dimensional Recurrence Relations of Jacobsthal
Milena Carolina dos Santos Mangueira, Renata Passos Machado Vieira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino, and Renata Teófilo de Sousa
A41:
Prime Floor and Prime Ceiling Functions
A42:
A Matrix Related to Stern Polynomials and the Prouhet-Thue-Morse Sequence
George Beck and Karl Dilcher
A43:
Multiplicative Functions k -Additive on Generalized Pentagonal Numbers
A44:
A Proof of Euler's Theorem via Quandles
António Lages and Pedro Lopes
A45:
Note on Sets without Geometric Progressions
Xue-Qin Cao, Jin-Hui Fang, and Nathan McNew
A46:
Solution to a Problem Due to Chu and Kiliç
John Maxwell Campbell
Abstract
Associated Computer Programs
A47:
Subgraphs of Coprime Graphs on Sets of Consecutive Integers
Ethan Berkove and Michael Brilleslyper
A48:
On the Generalized Leonardo Numbers
Kantaphon Kuhapatanakul and Juthamas Chobsorn
A49:
Counting the Parts Divisible by k in All the Partitions of n Whose Parts Have Multiplicity Less than k
Daniel Herden, Mark R. Sepanski, Jonathan Stanfill, Cordell C. Hammon, Joel Henningsen, Henry Ickes, Jorge Marchena Menendez, Taylor Poe, Indalecio Ruiz, and Edward L. Smith
A50:
A Generalization of an Inequality by Graham
A51:
Sum and Mod Sum Graphs of Arithmetic Sets
Meeri-Liisa Beste, Jan-Hendrik de Wiljes, and Martin Kreh
A52:
Arithmetic Convergence of Double-Iterated Polynomials
A53:
A Generalization of the Hardy-Littlewood Conjecture
A54:
Polygonal Balancing Numbers I
Jeremiah Bartz, Bruce Dearden, and Joel Iiams
A55:
Primary Carmichael Numbers
A56:
Hypergeometric Bernoulli Polynomials and r -Associated Stirling Numbers of the Second Kind
Paolo Emilio Ricci and Pierpaolo Natalini
A57:
Embedding Theory of Lattices and Its Application to 2-Integrable Lattices
Qianqian Yang and Kiyoto Yoshino
A58:
On the Index of Odd Perfect Numbers
A59:
Primes in Floor Function Sets
A60:
On Hyper k -Pell, Hyper k -Pell-Lucas and Hyper Modified k -Pell Sequences
Paula Catarino, Francisco R. V. Alves, and Helena Campos
A61:
p -Adic Order of Positive Integers via Binomial Coefficients
A62:
Schur's Theorem in Integer Lattices
Vishal Balaji, Andrew Lott, and Alex Rice
A63:
Combinatorial Formulas for Arithmetic Density
Robert Schneider and Andrew V. Sills
A64:
k -Fibonacci Numbers and Möbius Functions
Emil Daniel Schwab and Gabriela Schwab
A65:
Alternating N -Expansions
Karma Dajani and Niels Langeveld
A66:
Some Remarks on Harmonic Type Matrices
A67:
Permanents of 3 x 3 Invertible Matrices Modulo n
Ayush Bohra and A. Satyanarayana Reddy
A68:
On the 2-Adic Valuation of Generalized Fibonacci Sequences
A69:
Irreducibility of Generalized Fibonacci Polynomials
Rigoberto Flórez and J. C. Saunders
A70:
Arithmetic Properties of the Ternary Quadratic Form \(3x^2+6y^2+14z^2+4yz+2zx+2xy\)
Florian Münkel, Lerna Pehlivan, and Kenneth S. Williams
A71:
Prime Factors of \(\Phi_3(x)\) of the Same Form
Cody S. Hansen and Pace P. Nielsen
A72:
A q -Analogue of Granville's Congruence
Laid Elkhiri, Neşe Ömür, and Sibel Koparal
A73:
Full k -Complete Partitions
Augustine O. Munagi and Ntendeni A. Takalani
A74:
Average Behavior of the Fourier Coefficients of the Symmetric Square L -Function over Some Sequence of Integers
Anubhav Sharma and Ayyadurai Sankaranarayanan
A75:
The Repetends of Reduced Fractions a/bk Approach Full Complexity with an Increasing k
Josefina López and Peter Stoll
A76:
Some Primality Conditions for N=2pn -1
E. L. Roettger and H. C. Williams
A77:
On the Computation of Fundamental Periods of v -Palindromic Numbers
A78:
Faulhaber's Formula, Odd Bernoulli Numbers, and the Method of Partial Sums
A79:
Unfair Distributions Counted by the Generalized Stirling Numbers
Beáta Bényi, Sithembele Nkonkobe, and Mark Shattuck
A80:
Coefficients of Unitary Cyclotomic Polynomials of Order Three
A81:
Sums of Products of Binomial Coefficients Mod 2 and Run Length Transforms of Sequences
A82:
New Results on the p -Adic Valuation of Stirling Numbers
Arnold Adelberg and Tamás Lengyel
A83:
Coprime Permutations
A84:
The Order of the Fundamental Solution of \(x^2-Dy^2 =1\) in \(\mathbb{Z}[\sqrt{D}]/\langle D \rangle\)
Stephen Choi and Daniel Tarnu
A85:
Extension of an Inequality for Fibonacci Numbers
Horst Alzer and Man Kam Kwong
A86:
A Note on the Wilson Quotient
A87:
Multiplicative Functions Which Are Additive on Sums of Two Nonzero Squares
A88:
On Denseness of Certain Direction and Generalized Direction Sets
Deepa Antony, Rupam Barman, and Jaitra Chattopadhyay
A89:
A Class of Graphs Based on a Set of Moduli
A90:
On the Two-Color Rado Number for \(\sum_{i=1}^{m-2} x_i+ax_{m-1}-x_m=c\)
Srashti Dwivedi and Amitabha Tripathi
A91:
Loop Decompositions of Random Walks and Nontrivial Identities of Bernoulli and Euler Polynomials
Lin Jiu, Italo Simonelli, and Heng Yue
A92:
Hypergraph Ramsey Numbers Involving Trees, Stars, and Complete Hypergraphs
Mark Budden and Justin Clifton
A93:
Extremal Sequences for a Weighted Zero-Sum Constant
Santanu Mondal, Krishnendu Paul, and Shameek Paul
A94:
Partial Dyck paths with Air Pockets
A95:
Some Summation and Transformation Formulas from Inversion Techniques
Chuanan Wei, Yi Wei, and Chun Li
A96:
Quotients of Palindromic and Antipalindromic Numbers
James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit
A97:
Generalized Sum-Free Sets and Cycle Saturated Regular Graphs
David Davini and Craig Timmons
A98:
Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence
A99:
On a Conjecture of Deaconescu
A100:
On the Diophantine Equations \(F_n=P_m \pm P_{\ell}\) and \(P_n= F_m \pm F_{\ell}\) Involving Fibonacci and Pell Numbers
A101:
Lattices of Minimal Index in \(\mathbb{Z}^n\) Having an Orthogonal Basis Containing a Given Vector
Chris Pinner and Chris Smyth
A102:
Higher Degree Erdős-Ginzburg-Ziv Constants
Yair Caro and John R. Schmitt
A103:
Weighted Free Lattice Paths and Legendre Polynomials
Teresa X.S. Li and Alina F.Y. Zhao
A104:
A Tiling Interpretation of a Generalized Zeckendorf's Theorem
Arthur T. Benjamin and John Lentfer
A105:
On the Brousseau Sums \(\sum_{i=1}^n i^p F_i\)
A106:
Multiplicative Inequalities for Primes and the Prime Counting Function
A107:
On the x -Coordinates of Pell Equations Which Are Narayana Numbers
Kisan Bhoi and Prasanta Kumar Ray
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