Volume 21 (2021)
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A1:
Infinite Series Containing Generalized q-harmonic Numbers
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Takao Komatsu and Rusen Li
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A2:
On the Symmetry Graph of Prime Numbers
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A3:
A Method for Generating Permutation Polynomials Modulo pn
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A4:
The South Caicos Factoring Algorithm
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A5:
Congruences for Certain Lacunary Sums of Products of Binomial Coefficients
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A6:
The Structure of Zeckendorf Expansions
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A7:
Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits
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Sai Gopal Rayaguru and Gopal Krishna Panda
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A8:
On the Minimum Cardinality of Generalized Sumsets in Finite Cyclic Groups
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A9:
Congruences For Fractional Partition Functions
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A10:
On Numerical Semigroups Generated by Compound Sequences
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A11:
The Factorial Moments of the Generalized Bernoulli-Fibonacci Distribution
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A12:
Multivariable Lucas Polynomials and Lucanomials
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Edward E. Allen, Katherine Riley, and Michael Weselcouch
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A13:
Alternative Formulations of the Generalized Cosecand and Secant Numbers
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A14:
Invariant Measures for 2-dimensional Maps and Associated Rényi Maps
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A15:
Some Congruences for (s,t)-regular Bipartitions Modulo t
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T. Kathiravan and K. Srilakshmi
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A16:
Walking to Infinity Along Gaussian Lines
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Elsa Magness, Brian Nugent, and Leanne Robertson
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A17:
The Frobenius Problem for Extended Thabit Numerical Semigroups
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A18:
On the Family of Elliptic Curves \(X + 1/X + Y + 1/Y + t = 0\)
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Abhishek Juyal and Dustin Moody
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A19:
Exact Formulas for the Generalized Sum-of-Divisors Functions
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A20:
Lucas Congruences for the Apéry Numbers Modulo p2
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Eric Rowland, Reem Yassawi, and Christian Krattenthaler
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A21:
Quotients of Hurwitz Primes
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Minghao Pan and Wentao Zhang
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A22:
Some Nested Sums in Terms of the Riemann Zeta Function and the Dirichlet Beta Function
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A23:
Dirichlet Series With Trigonometric Coefficients
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A24:
A Note on the Erdős-Straus Conjecture
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A25:
Isomorphism Classes of Distance Graphs in \(\mathbb{Q}^3\)
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A26:
Extensions of Midy's Theorem for Periodic Decimals
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Sakshi Dang, Saraswati Nanoti, and Amitabha Tripathi
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A27:
The Number of Optimal Strategies in the Penney-Ante Game
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Reed Phillips and A.J. Hildebrand
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A28:
Robin's Inequality for 20-free Integers
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Thomas Morrill and David John Platt
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A29:
The Bi-periodic Fibonacci-Horadam Matrix
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Joy P. Ascaño and Edna N. Gueco
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A30:
Shifted Convolution Sums of Arithmetic Functions of Two Variables and Ramanujan Expansions
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A31:
Harmonic Numbers and the Prime Counting Function
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A32:
A Recurring Pattern in Natural Numbers of a Certain Property
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A33:
Complete Additivity, Complete Multiplicativity, and Leibniz-additivity on Rationals
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Jorma K. Merikoski, Pentti Haukkanen, and Timo Tossavainen
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A34:
Repetitions of Multinomial Coefficients and a Generalization of Singmaster's Conjecture
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Jean-Marie de Koninck, Nicolas Doyon, and William Verreault
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A35:
An Analogue of k-marked Durfee Symbols for Strongly Unimodal Sequences
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Savana Ammons, Young Jin Kim, Laura Seaberg, and Holly Swisher
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A36:
Abelian Complexity and Synchronization
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A37:
The Mondrian Puzzle: A Bound Concerning the M(n)=0 Case
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Cooper O'Kuhn and Todd Fellman
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A38:
On Third-order Pell Polynomials
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A39:
A Sextic Diophantine Chain and a Related Mordell Curve
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Ajai Choudhry and Arman Shamsi Zargar
Games Articles
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G1:
A Codex of N- and P-positions in Harary's 'Caterpillar Game'
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Richard M. Low, Ardak Kapbasov, Arman Kapbasov, Stephen C. Locke, and W. H. Chan