Volume 20 (2020)
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A1:
A New Class of the r-Stirling Numbers and the Generalized Bernoulli Polynomials
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Miloud Mihoubi and Meriem Tiachachat
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A2:
Jordan's Expansion of the Reciprocal of Theta Functions and 2-densely Divisible Numbers
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José Manuel Rodríguez Caballero
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A3:
The Structure of a Sequence With Prescribed Zero-sum Subsequences
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David J. Grynkiewicz, Chunlin Wang, and Kevin Zhao
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A4:
Shifts of the Prime Divisor Function of Alladi and Erdős
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Snehal M. Shekatkar and Tian An Wong
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A5:
On Generalized Euler Numbers and Polynomials Related to Values of the Lerch Zeta Function
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A6:
The Distribution of the Generalized Greatest Common Divisor and Visibility of Lattice Points
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Jorge Flórez, Cihan Karabulut, and Elkin Quintero Vanegas
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A7:
Szemerédi-Trotter Type Results in Arbitrary Finite Fields
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A8:
A Bijection Between the Triangulations of Convex Polygons and Ordered Trees
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Dennis E. Davenport, Louis W. Shapiro, and Leon C. Woodson
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A9:
Identities and Inequalities for Sums Involving Binomial Coefficients
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Horst Alzer and Helmut Prodinger
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A10:
On the Integrality of Factorial Ratios and Mirror Maps
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Alan Adolphson and Steven Sperber
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A11:
Prime Number Conjectures From the Shapiro Class Structure
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Hartosh Singh Bal and Gaurav Bhatnagar
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A12:
The Combinatorics of Frieze Patterns and Markoff Numbers
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A13:
Diophantine Equations Coming From Binomial Near-collisions
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A14:
Some Congruences for (2,5)-regular Cubic Partition Pairs
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M. S. Mahadeva Naika, Harishkumar T, and Y. Veeranna
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A15:
On the Diophantine Equation \(\frac{ax^{n+2l}+c}{abt^2x^n+d}=by^2\)
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Wenyu Luo and Pingzhi Yuan
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A16:
Index Divisibility in the Orbit of 0 for Integral Polynomials
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T. Alden Gassert and Michael T. Urbanski
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A17:
Sets of Cardinality 6 Are Not Sum-dominant
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A18:
Partition Inequalities and Applications to Sum-Product Conjectures of Kanade-Russell
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A19:
A Proof of the Infinitude of Primes Via Continued Fractions
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A20:
An Euler Phi Function for the Eisenstein Integers and Some Applications
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Emily Gullerud and aBa Mbirika
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A21:
Two New Explicit Formulas for the Bernoulli Numbers
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A22:
An Improved Exponential Upper Bound for the Erdős-Ginzburg-Ziv Constant
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A23:
On Bivariate and Trivariate Miki-type Identities for Bernoulli Polynomials
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A24:
Richness of Arithmetic Progressions in Commutative Semigroups
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Aninda Chakraborty and Sayan Goswami
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A25:
Combinatorial Identities Involving Harmonic Numbers
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A26:
Lower and Upper Bounds On Irregularities of Distribution
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A27:
A Diophantine System
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A28:
Congruences for Overpartition Pairs and 5 Dots Bracelet Partitions Modulo 25
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A29:
Elliptic Fermat Numbers and Elliptic Divisibility Sequences
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Seoyoung Kim and Alexandra Walsh
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A30:
A Note on Applications from Extending Abel's Lemma
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A31:
Maximal Entries of Elements in Certain Matrix Monoids
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Sandie Han, Ariane M. Masuda, Satyanand Singh, and Johann Thiel
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A32:
Brazilian Primes Which Are Also Sophie Germain Primes
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Jon Grantham and Hester Graves
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A33:
A Characterization of the Sum and Integral Sum Labellings of Some Classes of Graphs
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Edgar Federico Elizeche and Amitabha Tripathi
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A34:
On a Symmetricity Property Connected to the Euclidean Algorithm
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A35:
Infinite Summation Formulas Involving the Riemann--Zeta Function
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Xiaoxia Wang and Xueying Yuan
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A36:
On the Two-color Rado Number for \(x_1+ax_2-x_3=c\)
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Srashti Dwivedi and Amitabha Tripathi
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A37:
Sums of Powers Over Equally Spaced Fibonacci Numbers
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A38:
Congruence Properties for the Trinomial Coefficients
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Moa Apagodu and Ji-Cai Liu
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A39:
Distribution Laws of Friable Divisors
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A40:
A Note on a Generalization of Fundamental Gaps in Numerical Semigroups
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Edgar Federico Elizeche and Amitabha Tripathi
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A41:
Finite Sums of the Floor Functions Series
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Ryszard Palka and Zdzislaw Trukszyn
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A42:
Generalizations of Wolstenholme's Theorem Via the p-adic Logarithm
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A43:
A Note on Incomplete Leonardo Numbers
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P. Catarino and A. Borges
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A44:
A Supercongruence Involving Cubes of Catalan Numbers
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A45:
The Sum of Digits Function of the Base Phi Expansion of the Natural Numbers
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A46:
On the Finiteness of Carmichael Numbers with Fermat Factors and \(L=2^{\alpha}P^2\)
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A47:
On Multiplicative Bases of Finite Sets
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Katalin Fried and Katalin Gyarmati
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A48:
Note on a Determinant
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A49:
A Remark on Periods of Periodic Sequences Modulo m
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A50:
Rainbow Numbers for \(x_1+x_2=kx_3\) in \(\mathbb{Z}_n\)
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Erin Bevilacqua, Samuel King, Jürgen Kritschgau, Michael Tait, Suzannah Tebon, and Michael Young
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A51:
Rainbow Numbers of \(
\mathbb{Z}_n\) for \(a_1x_1+a_2x_2+a_3x_3 =b\)
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Katie Ansaldi, Houssein El Turkey, Jessica Hamm, Anisah Nu'Man, Nathan Warnberg, and Michael Young
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A52:
Generalized Euler-Genocchi Polynomials and Lucas Numbers
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Robert Frontczak and Zivorad Tomovski
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A53:
On the Averages of Factors of an Infinite Word on a Finite Set of Integers
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Tom C. Brown and Allen R. Freedman
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A54:
An Adaptive Upper Bound on the Ramsey Numbers \(R(3,\dots,3)\)
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A55:
Families of Non-congruent Numbers With Arbitrarily Many Pairs of Prime Factors
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Shamik Das and Anupam Saikia
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A56:
A Note on a Unitary Analog to Redheffer's Matrix
Games Articles
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G1:
Grundy Numbers of Impartial Chocolate Bar Games
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Ryohei Miyadera, Shunsuke Nakamura, and Yushi Nakaya
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G2:
Atomic Weight Calculus of Spindly Games
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Michael Fisher, Neil McKay, Richard J. Nowakowski, Paul Ottaway, and Carlos Pereira dos Santos
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G3:
Slow k-Nim
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Vladimir Gurvich, Silvia Heubach, Hhan Bao Ho, and Nikolay Chikin
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G4:
The Sprague-Grundy Function for Some Selective Compound Games
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Calvin Beideman, Matthew Bowen, and Alp Müyesser
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G5:
The Periodicity of Nim-Sequences in Two-Element Subtraction Games
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Bret Benesh, Jamylle Carter, Doug Crabill, Deidra Coleman, Jack Good, Michael Smith, Jennifer Travis, and Mark Daniel Ward
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G6:
A Note on a Subtraction--Transfer Game