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Volume 14 (2014)
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A1:
Upper and Lower Bounds on Bk+-Sets
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Craig Timmons
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DOI: 10.5281/zenodo.10429099
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A2:
An Approach to q-Series
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Jorge Luis Cimadevilla Villacorta
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DOI: 10.5281/zenodo.10429105
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A3:
The Fractal Nature of the Fibonomial Triangle
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Xi Chen and Bruce E. Sagan
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DOI: 10.5281/zenodo.10429107
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A4:
More on Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers
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R. S. Melham
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DOI: 10.5281/zenodo.10429113
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A5:
Fibonacci Numbers with Prime Sums of Complementary Divisors
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Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, and Amadou Tall
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DOI: 10.5281/zenodo.10429117
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A6:
Compositions of Integers With Bounded Parts
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Darren B Glass
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DOI: 10.5281/zenodo.10429119
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A7:
Congruences for Generalized Frobenius Partitions with an Arbitrarily Large Number of Colors
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Frank G. Garvan and James A. Sellers
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DOI: 10.5281/zenodo.10429121
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A8:
Some Congruences for Balancing and Lucas-Balancing Numbers and Their Applications
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Prasanta Kumar Ray
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DOI: 10.5281/zenodo.10429132
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A9:
On the Lambek-Moser Theorem
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Yuval Ginosar
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DOI: 10.5281/zenodo.10429136
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A10:
Proofs of Ruehr's Identities
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Sean Meehan, Akalu Tefera, Michael Weselcouch, and Aklilu Zeleke
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DOI: 10.5281/zenodo.10429140
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A11:
Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1
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F. Blanchet-Sadri, James D. Currie, Narad Rampersad, and Nathan Fox
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DOI: 10.5281/zenodo.10451707
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A12:
Some Partition Theorems for Infinite and Finite Matrices
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David S. Gunderson, Neil Hindman, and Hanno Lefmann
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DOI: 10.5281/zenodo.10451714
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A13:
On the Least Significant p-adic Digits of Certain Lucas Numbers
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Tamás Lengyel
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DOI: 10.5281/zenodo.10451722
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A14:
Eigenvalues and Arithmetic Functions on PSL2(Z)
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Andrew Ledoan, Paul Spiegelhalter, and Alexandru Zaharescu
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DOI: 10.5281/zenodo.10451749
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A15:
Generalized Golden Ratios Over Integer Alphabets
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Simon Baker
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DOI: 10.5281/zenodo.10451759
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A16:
On Generalized Addition Chains
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Yara Elias and Pierre McKenzie
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DOI: 10.5281/zenodo.10451771
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A17:
On the Miki and Matiyasevich Identities for Bernoulli Numbers
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Takashi Agoh
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DOI: 10.5281/zenodo.10451781
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A18:
Special Sets of Primes in Function Fields
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Julio C. Andrade, Steven J. Miller, Kyle Pratt, and Minh-Tam Trinh
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DOI: 10.5281/zenodo.10451791
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A19:
An Upper Bound for Ramanujan Primes
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Anitha Srinivasan
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DOI: 10.5281/zenodo.10451799
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A20:
Some Combinatorial Series and Reciprocal Relations Involving Multifold Convolutions
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Leetsch C. Hsu and Xin-Rong Ma
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DOI: 10.5281/zenodo.10451802
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A21:
On Weighted Zero Sum Subsequences of Short Length
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B. K. Moriya
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DOI: 10.5281/zenodo.10451808
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A22:
A Density Chinese Remainder Theorem
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D. Jason Gibson
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DOI: 10.5281/zenodo.10451819
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A23:
Long Minimal Zero-Sum Sequences in the Groups C2r-1 ⊕ C2k
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Fang Chen and Svetoslav Savchev
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DOI: 10.5281/zenodo.10451827
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A24:
Derivative of an Ideal in a Number Ring
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Raj Kumar Mistri and Ram Krishna Pandey
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DOI: 10.5281/zenodo.10451833
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A25:
Modifications of Some Methods in the Study of Zero-Sum Constants
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Sukumar Das Adhikari and Eshita Mazumdar
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DOI: 10.5281/zenodo.10451839
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A26:
Additive and Multiplicative Structures of C★-Sets
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Dibyendu De
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DOI: 10.5281/zenodo.10451874
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A27:
Embeddability Properties of Difference Sets
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Mauro Di Nasso
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DOI: 10.5281/zenodo.10451882
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A28:
On the Prime k-tuple Conjecture
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R. Thangadurai and G. K. Viswanadham
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DOI: 10.5281/zenodo.10451890
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A29:
Overlap Cycles for Permutations: Necessary and Sufficient Conditions
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Victoria Horan
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DOI: 10.5281/zenodo.10451902
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A30:
Partition Regularity of Nonlinear Polynomials: A Nonstandard Approach
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Lorenzo Luperi Baglini
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DOI: 10.5281/zenodo.10451906
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A31:
Partition Regularity of a System of De and Hindman
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Ben Barber
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DOI: 10.5281/zenodo.10451914
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A32:
The Generalized Tribonacci Numbers with Negative Subscripts
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Kantaphon Kuhapatanakul and Lalitphat Sukruan
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DOI: 10.5281/zenodo.10451923
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A33:
Two Combinatorial Geometric Problems involving Modular Hyperbolas
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Mizan R. Khan, Richard Magner, Steven Senger, and Arne Winterhof
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DOI: 10.5281/zenodo.10451933
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A34:
The (r1,...,rp)-Bell Polynomials
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Mohammed Said Maamra and Miloud Mihoubi
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DOI: 10.5281/zenodo.10451964
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A35:
A Generalized Ramanujan-Nagell Equation Related to Certain Strongly Regular Graphs
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Benne de Weger
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DOI: 10.5281/zenodo.10451970
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A36:
On the Exponential Sum With the Sum of Digits of Hereditary Base b Notation
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Carlo Sanna
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DOI: 10.5281/zenodo.10452380
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A37:
On the Maximal Weight of (P,Q)-ary Chain Partitions With Bounded Parts
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Filippo Disanto, Laurent Imbert, and Fabrice Philippe
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DOI: 10.5281/zenodo.10452386
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A38:
Newton Basis Relations and Applications to Integer-Valued Polynomials and q-Binomial Coefficients
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Jesse Elliott
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DOI: 10.5281/zenodo.10452390
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A39:
The Stern-Brocot Continued Fraction
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Bruce Bates
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DOI: 10.5281/zenodo.10452402
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A40:
Irrational Numbers Associated to Sequences Without Geometric Progressions
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Melvyn B. Nathanson and Kevin O'Bryant
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DOI: 10.5281/zenodo.10452413
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A41:
A Combinatorial Proof on Partition Function Parity
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Daniel C. McDonald
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DOI: 10.5281/zenodo.10452421
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A42:
Some General Results and Open Questions on Palintiple Numbers
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Benjamin V. Holt
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DOI: 10.5281/zenodo.10452425
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A43:
On Double 3-Term Arithmetic Progressions
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Tom Brown, Veselin Jungić, and Andrew Poelstra
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DOI: 10.5281/zenodo.10452433
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A44:
Building a Better Bijection Between Classes of Compositions
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James D. Diffenderfer
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DOI: 10.5281/zenodo.10452436
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A45:
Ehrhart Polynomials of Integral Simplices With Prime Volumes
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Akihiro Higashitani
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DOI: 10.5281/zenodo.10452442
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A46:
Sums of Generalized Harmonic Series
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Michael E. Hoffman and Courtney Moen
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DOI: 10.5281/zenodo.10452479
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A47:
On Hensel's Roots and a Factorization Formula in Z[[x]]
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Daniel Birmajer, Juan B. Gil, and Michael D. Weiner
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DOI: 10.5281/zenodo.10452489
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A48:
A Combinatorial Proof of a Family of Multinomial-Fibonacci Identities
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Martin Griffiths and Alexander Bramham
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DOI: 10.5281/zenodo.10452495
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A49:
Handling a Large Bound for a Problem on the Generalized Pillai Equation ± r ax ± s by=c
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Reese Scott and Robert Styer
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DOI: 10.5281/zenodo.10452497
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A50:
On RATS Sequences in General Bases
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Johann Thiel
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DOI: 10.5281/zenodo.10452503
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A51:
Multi-Poly-Bernoulli-Star Numbers and Finite Multiple Zeta-Star Values
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Kohtaro Imatomi
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DOI: 10.5281/zenodo.10452521
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A52:
Representations of Squares by Certain Ternary Quadratic Forms
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Dongxi Ye
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DOI: 10.5281/zenodo.10452523
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A53:
Champion Primes For Elliptic Curves
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Jason Hedetniemi, Kevin James, and Hui Xue
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DOI: 10.5281/zenodo.10452526
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A54:
Identities Between Polynomials Related to Stirling and Harmonic Numbers
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Bernd C. Kellner
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DOI: 10.5281/zenodo.10452538
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A55:
9-Modularity and GCD Properties of Generalized Fibonacci Numbers
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Rigoberto Flórez, Robinson A. Higuita, and Leandro Junes
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DOI: 10.5281/zenodo.10452546
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A56:
A Divisibility Obstruction for Certain Walks on Gaussian Integers
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Andrew Ledoan and Alexandru Zaharescu
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DOI: 10.5281/zenodo.10452551
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A57:
Expansions in Non-Integer Bases: Lower Order Revisited
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Simon Baker and Nikita Sidorov
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DOI: 10.5281/zenodo.10452559
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A58:
On David's 2-Dimensional Continued Fraction
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Fritz Schweiger
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DOI: 10.5281/zenodo.10452563
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A59:
Carmichael Numbers with (p+1) | (n-1)
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Richard J. McIntosh
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DOI: 10.5281/zenodo.10452565
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A60:
A Proof of the Mann-Shanks Primality Criterion Conjecture for Extended Binomial Coefficients
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Steffen Eger
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DOI: 10.5281/zenodo.10452572
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A61:
Short Effective Intervals Containing Primes
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Habiba Kadiri and Allysa Lumley
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DOI: 10.5281/zenodo.10453971
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A62:
Totienomial Coefficients
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Tom Edgar
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DOI: 10.5281/zenodo.10453979
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A63:
There Are No Socialist Primes Less Than 109
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Tim Trudgian
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DOI: 10.5281/zenodo.10453990
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A64:
Tangent Power Sums and Their Applications
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Vladimir Shevelev and Peter J. C. Moses
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DOI: 10.5281/zenodo.10453999
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A65:
On Numbers That Cannot be Expressed as a Plus-Minus Weighted Sum of a Fibonacci Number and a Prime
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Dan Ismailescu and Peter C. Shim
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DOI: 10.5281/zenodo.10454009
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A66:
Smith Numbers With Extra Digital Features
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Amin Witno
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DOI: 10.5281/zenodo.10454013
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A67:
Packing Polynomials on Sectors of R2
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Caitlin Stanton
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DOI: 10.5281/zenodo.10454022
Games Articles
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G1:
Edge Deletion Games with Parity Rules
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Peter Harding and Paul Ottaway
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DOI: 10.5281/zenodo.10454028
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G2:
Transfinite Game Values in Infinite Chess
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C. D. A. Evans and Joel David Hamkins
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DOI: 10.5281/zenodo.10454032
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G3:
An Update on Domineering on Rectangular Boards
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Gabriel C. Drummond-Cole
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DOI: 10.5281/zenodo.10454078
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G4:
Twist Untangle and Related Knot Games
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Sandy Ganzell, Alex Meadows, and John Ross
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DOI: 10.5281/zenodo.10454098
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G5:
Maharaja Nim: Wythoff's Queen meets the Knight
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Urban Larsson and Johan Wästlund
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DOI: 10.5281/zenodo.10454107
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G6:
On Kotzig's Nim
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Xin Lu Tan and Mark Daniel Ward
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DOI: 10.5281/zenodo.10454115
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G7:
Note on Odd/Odd Vertex Removal Games on Bipartite Graphs
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Oliver Krüger
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DOI: 10.5281/zenodo.10454119
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G8:
Playing Simple Loony Dots-and-Boxes Endgames Optimally
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Kevin Buzzard and Michael Ciere
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DOI: 10.5281/zenodo.10454121