Volume 15 (2015)
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A1:
Continued Fractions and Linear Fractional Transformations
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Evan O'Dorney
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DOI: 10.5281/zenodo.10455873
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A2:
On Asymptotic Formula of the Partition Function pA(n)
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A. David Christopher and M. Davamani Christober
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DOI: 10.5281/zenodo.10455876
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A3:
Continuants and Some Decompositions Into Squares
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Charles Delorme and Guillermo Pineda-Villavicencio
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DOI: 10.5281/zenodo.10455881
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A4:
Elementary Estimates for the Number of Pure Number Fields of Degree p
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Yusuke Fujisawa
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DOI: 10.5281/zenodo.10455887
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A5:
Representations by Certain Octonary Quadratic Forms With Coefficients 1, 2, 3, and 6
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Şaban Alaca and Yavuz Kesicioğlu
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DOI: 10.5281/zenodo.10455891
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A6:
The Straight Line Complexity of Small Factorials and Primorials
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Klas Markström
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DOI: 10.5281/zenodo.10455900
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A7:
Arithmetic of 3t-Core Partition Functions
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Haobo Dai
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DOI: 10.5281/zenodo.10455903
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A8:
Representations of Stirling Numbers of the First Kind by Multiple Integrals
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Takashi Agoh and Karl Dilcher
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DOI: 10.5281/zenodo.10455911
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A9:
Partitions With Designated Summands in Which All Parts Are Odd
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Nayandeep Deka Baruah and Kanan Kumari Ojah
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DOI: 10.5281/zenodo.10455916
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A10:
A Number Theoretic Problem on the Distribution of Polynomials With Bounded Roots
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Peter Kirschenhofer and Mario Weitzer
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DOI: 10.5281/zenodo.10455923
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A11:
Coefficients of Sylvester's Denumerant
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Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Brandon E. Dutra, Matthias Köppe, and Michèle Vergne
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DOI: 10.5281/zenodo.10456122
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A12:
Robin's Inequality for 11-free Integers
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Kevin A. Broughan and Tim Trudgian
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DOI: 10.5281/zenodo.10456128
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A13:
The Location of the First Ascent in a 123-Avoiding Permutation
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Samuel Connolly, Zachary Gabor, and Anant Godbole
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DOI: 10.5281/zenodo.10456132
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A14:
A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions
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Hieu D. Nguyen
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DOI: 10.5281/zenodo.10456142
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A15:
New Proof of Kemperman's Theorem
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Tomas Boothby, Matt DeVos, and Amanda Montejano
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DOI: 10.5281/zenodo.10456147
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A16:
Quadrant Marked Mesh Patterns in 132-Avoiding Permutations II
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Sergey Kitaev, Jeffrey Remmel, and Mark Tiefenbruck
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DOI: 10.5281/zenodo.10456155
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A17:
On the Increases of the Sequence ⌊ k√n
⌋
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Matthew Hyatt and Marina Skyers
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DOI: 10.5281/zenodo.10456161
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A18:
On Sparsely Schemmel Totient Numbers
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Colin Defant
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DOI: 10.5281/zenodo.10456165
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A19:
Generalized Folding Lemmas in the Field of Formal Series and Their Applications
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Jittinart Rattanamoong, Vichian Laohakosol, and Tuangrat Chaichana
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DOI: 10.5281/zenodo.10456169
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A20:
The Smoothed Pólya-Vinogradov Inequality
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Kamil Adamczewski and Enrique Treviño
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DOI: 10.5281/zenodo.10456175
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A21:
Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles
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Olivia Beckwith, Victor Luo, Steven J. Miller, Karen Shen, and Nicholas Triantafillou
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DOI: 10.5281/zenodo.10456179
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A22:
Abel's Lemma and Identities on Harmonic Numbers
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Hai-Tao Jin and Daniel K. Du
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DOI: 10.5281/zenodo.10456183
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A23:
Properties of a Restricted Binary Partition Function a la Andrews and Lewis
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Bin Lan and James A. Sellers
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DOI: 10.5281/zenodo.10456187
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A24:
The Generating Function of the Generalized Fibonacci Sequence
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Armando Gonçalves and M. N. de Jesus
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DOI: 10.5281/zenodo.10456193
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A25:
Notes on Primes p≡ 1 (mod d) and ap-1/d≡ 1 (mod p)
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Shuguang Li
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DOI: 10.5281/zenodo.10456196
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A26:
On a Linear Diophantine Problem Involving the Fibonacci and Lucas Sequences
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Sanjit Singh Batra, Nikhil Kumar, and Amitabha Tripathi
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DOI: 10.5281/zenodo.10456203
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A27:
Ramsey Functions for Generalized Progressions
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Mano Vikash Janardhanan and Sujith Vijay
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DOI: 10.5281/zenodo.10456205
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A28:
The Asymptotic Distribution of a Hybrid Arithmetic Function
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Sarah Manski, Jacob Mayle, and Nathaniel Zbacnik
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DOI: 10.5281/zenodo.10456207
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A29:
Erdős-Szekeres Results for Set Partitions
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Eric Gottlieb and Michael Sheard
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DOI: 10.5281/zenodo.10456213
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A30:
Sturmian Words and Constant Additive Complexity
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Julian Sahasrabudhe
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DOI: 10.5281/zenodo.10456215
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A31:
On Divisibility of Generalized Fibonacci Numbers
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Miho Aoki and Yuho Sakai
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DOI: 10.5281/zenodo.10456471
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A32:
The Sum of Digits of Polynomial Values
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Shu-Yuan Mei
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DOI: 10.5281/zenodo.10456477
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A33:
Odd and Even Linear Divisibility Sequences of Order 4
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H. C. Williams and R. K. Guy
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DOI: 10.5281/zenodo.10456479
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A34:
On the Reducibility of Exact Covering Systems
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Ofir Schnabel
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DOI: 10.5281/zenodo.10456485
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A35:
Graph Compositions: Deleting Edges from Complete Graphs
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Todd Tichenor and Michael Mays
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DOI: 10.5281/zenodo.10456489
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A36:
Long Fully Commutative Elements in Affine Coxeter Groups
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Frédéric Jouhet and Philippe Nadeau
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DOI: 10.5281/zenodo.10456495
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A37:
Note on a Result of Chung on Weil Type Sums
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Norbert Hegyvári and François Hennecart
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DOI: 10.5281/zenodo.10456501
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A38:
Polynomial Sequences on Quadratic Curves
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Marco Abrate, Stefano Barbero, Umberto Cerruti, and Nadir Murru
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DOI: 10.5281/zenodo.10456509
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A39:
Quadrant Marked Mesh Patterns in 132-avoiding Permutations III
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Sergey Kitaev, Jeffrey Remmel, and Mark Tiefenbruck
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DOI: 10.5281/zenodo.10456519
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A40:
Unchained r-sequences and a Generalized Cassini Formula
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George A. Hisert
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DOI: 10.5281/zenodo.10456523
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A41:
Convergence of David's 2-dimensional Continued Fraction
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Fritz Schweiger
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DOI: 10.5281/zenodo.10456618
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A42:
The Relative Sizes of Sumsets and Difference Sets
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Merlijn Staps
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DOI: 10.5281/zenodo.10456624
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A43:
Powers in Prime Bases and a Problem on Central Binomial Coefficients
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Sebastian Tim Holdum, Frederik Ravn Klausen, and Peter Michael Reichstein Rasmussen
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DOI: 10.5281/zenodo.10456626
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A44:
On Zero-sum Partitions of Abelian Groups
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Xiangneng Zeng
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DOI: 10.5281/zenodo.10456646
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A45:
A Note on Lerch’s Formulae for Euler Quotients
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Alex Samuel Bamunoba
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DOI: 10.5281/zenodo.10456648
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A46:
Integer Sequences and k-commuting Permutations
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Luis Manuel Rivera
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DOI: 10.5281/zenodo.10456657
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A47:
Quadratic Diophantine Equations with Infinitely Many Solutions in Positive Integers
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Mihai Cipu
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DOI: 10.5281/zenodo.10456661
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A48:
Some Applications of Symmetric Functions
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Ali Boussayoud, Abdelhamid Abderrezzak, and Mohamed Kerada
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DOI: 10.5281/zenodo.10456663
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A49:
Mixed Sums of Triangular Numbers and Certain Binary Quadratic Forms
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Kazuhide Matsuda
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DOI: 10.5281/zenodo.10456667
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A50:
Factors and Irreducibility of Generalized Stern Polynomials
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Karl Dilcher and Larry Ericksen
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DOI: 10.5281/zenodo.10456673
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A51:
Egyptian Fractions with Each Denominator Having Three Distinct Prime Divisors
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Steve Butler, Paul Erdős, and Ron Graham
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DOI: 10.5281/zenodo.10456687
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A52:
An Improved Upper Bound for Ramanujan Primes
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Anitha Srinivasan and John W. Nicholson
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DOI: 10.5281/zenodo.10456692
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A53:
Generalizations on a Problem of Saffari
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Alexander P. Mangerel
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DOI: 10.5281/zenodo.10456698
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A54:
Consecutive Integers and the Collatz Conjecture
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Marcus Elia and Amanda Tucker
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DOI: 10.5281/zenodo.10456702
Games Articles
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G1:
Binary Dicots, a Core of Dicot Games
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Gabriel Renault
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DOI: 10.5281/zenodo.10456710
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G2:
An Atlas of N- and P-positions in 'Nim With a Pass'
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Richard M. Low and W. H. Chan
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DOI: 10.5281/zenodo.10456716
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G3:
Partizan Kayles and Misère Invertibility
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Rebecca Milley
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DOI: 10.5281/zenodo.10456718
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G4:
Impartial Chocolate Bar Games
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Shunsuke Nakamura and Ryohei Miyadera
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DOI: 10.5281/zenodo.10456724
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G5:
An n-in-a-row Game
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Joshua Erde
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DOI: 10.5281/zenodo.10456726