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Volume 16 (2016)

• A1: A New Proof of the Prouhet-Tarry-Escott Problem
  • Hieu D. Nguyen
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      DOI: 10.5281/zenodo.10456734

• A2: Product of a Number and its Multiplicative Inverse, Moments of L-functions and Exponential Sums
  • Tsz Ho Chan
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      DOI: 10.5281/zenodo.10474318

• A3: Every Natural Number is the Sum of Forty-nine Palindromes
  • William D. Banks
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      DOI: 10.5281/zenodo.10474322

• A4: Finite Reciprocal Sums in Which the Denominator of the Summand Contains Squares of Generalized Fibonacci Numbers
  • R. S. Melham
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      DOI: 10.5281/zenodo.10474327

• A5: Triangulations with Few Ears: Symmetry Classes and Disjointness
  • Andrei Asinowski and Alon Regev
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      DOI: 10.5281/zenodo.10474336

• A6: Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals
  • Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein
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      DOI: 10.5281/zenodo.10474342

• A7: On a Generalization of the Cauchy-Davenport Theorem
  • Matt DeVos
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      DOI: 10.5281/zenodo.10474350

• A8: Variants of Bulgarian Solitaire
  • Jeffrey S. Olson
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      DOI: 10.5281/zenodo.10474358

• A9: Further Multivariate Generalizations of Euler's Pentagonal Number Theorem and the Rogers-Ramanujan Identities
  • Karthik Nataraj
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      DOI: 10.5281/zenodo.10474362

• A10: Identifying an m-ary Partition Identity Through an m-ary Tree
  • Timothy B. Flowers and Shannon R. Lockard
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      DOI: 10.5281/zenodo.10474368

• A11: Strong Normality and Generalized Copeland--Erdős Numbers
  • Elliot Catt, Michael Coons, and Jordan Velich
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      DOI: 10.5281/zenodo.10474370

• A12: Congruences Related to the Ankeny-Artin-Chowla Conjecture
  • Takashi Agoh
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      DOI: 10.5281/zenodo.10474372

• A13: An Elementary Approach to Character Sums over Multiplicative Subgroups
  • Ke Gong
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      DOI: 10.5281/zenodo.10474374

• A14: On Certain Sums Involving the Legendre Symbol
  • Borislav Karaivanov and Tzvetalin S. Vassilev
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      DOI: 10.5281/zenodo.10474392

• A15: Beatty Sequences and Trigonometric Functions
  • Clark Kimberling
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      DOI: 10.5281/zenodo.10474398

• A16: A Periodic Approach to Plane Partition Congruences
  • Matthew S. Mizuhara, James A. Sellers, and Holly Swisher
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      DOI: 10.5281/zenodo.10474405

• A17: Congruences for Weighted Number of Labeled Forests
  • Arun P. Mani and Rebecca J. Stones
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      DOI: 10.5281/zenodo.10474415

• A18: Symmetry in Maximal (s-1,s+1) Cores
  • Rishi Nath
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      DOI: 10.5281/zenodo.10474420

• A19: A Non-classical Quadratic Form of Hessian Discriminant 4 is Universal Over Q[√5]
  • Jesse Ira Deutsch
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      DOI: 10.5281/zenodo.10474422

• A20: Relation Between Two Weighted Zero-sum Constants
  • Sukumar Das Adhikari, Eshita Mazumdar, and B. K. Moriya
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      DOI: 10.5281/zenodo.10474428

• A21: Note on Leech-type Questions of Trees
  • Mustafa Ozen, Hua Wang, and Demet Yalman
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      DOI: 10.5281/zenodo.10474447

• A22: New Bounds for the Prime Counting Function
  • Christian Axler
    • Select Abstract PDF Corrigendum
      DOI: 10.5281/zenodo.10474452

• A23: Two Explicit Formulas of the Schröder Numbers
  • Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo
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      DOI: 10.5281/zenodo.10474454

• A24: A Note On a Method of Erdős and the Stanley-Elder Theorems
  • George E. Andrews and Emeric Deutsch
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      DOI: 10.5281/zenodo.10474462

• A25: Congruences for 3-Regular Partitions With Designated Summands
  • M. S. Mahadeva Naika and D. S. Gireesh
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      DOI: 10.5281/zenodo.10474472

• A26: On Generalized Fibonacci and Lucas Numbers of the Form wkx² ± 1
  • Olcay Karaatli
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      DOI: 10.5281/zenodo.10474481

• A27: Derived Palintiple Families and Their Palinomials
  • Benjamin V. Holt
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      DOI: 10.5281/zenodo.10478340

• A28: Extremal Set Theory, Cubic Forms on F₂ⁿ and Hurwitz Square Identities
  • Sophie Morier-Genoud and Valentin Ovsienko
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      DOI: 10.5281/zenodo.10478348

• A29: Compositions of Complements of Graphs
  • Péter Árendás, Ferenc Bencs, Zoltán Blázsik, and Csaba Szabó
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      DOI: 10.5281/zenodo.10478360

• A30: Ruehr's Identities with Two Additional Parameters
  • Emrah Kılıç and Talha Arıkan
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      DOI: 10.5281/zenodo.10606232

• A31: Geometric Progression-Free Sequences with Small Gaps II
  • Xiaoyu He
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      DOI: 10.5281/zenodo.10606238

• A32: The Direct and Inverse Theorems on Integer Subsequence Sums Revisited
  • Raj Kumar Mistri and Ram Krishna Pandey
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      DOI: 10.5281/zenodo.10606240

• A33: Sequences on Sets of Four Numbers
  • Allen R. Freedman and Tom C. Brown
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      DOI: 10.5281/zenodo.10606244

• A34: On the Least Positive Solution to a Proportionally Modular Diophantine Inequality
  • Alessio Moscariello
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      DOI: 10.5281/zenodo.10606251

• A35: Edge-weighted Cayley Graphs and p-ary Bent Functions
  • Charles Celerier, David Joyner, Caroline Melles, David Phillips, and Steven Walsh
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      DOI: 10.5281/zenodo.10606260

• A36: Integer Sets with Identical Representation Functions
  • Yong-Gao Chen and Vsevolod F. Lev
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      DOI: 10.5281/zenodo.10606269

• A37: An Infinite Family of Congruences for ℓ-regular Overpartitions
  • Abdulaziz M. Alanazi, Augustine O. Munagi, and James A. Sellers
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      DOI: 10.5281/zenodo.10606278

• A38: Crescent Configurations
  • David Burt, Eli Goldstein, Sarah Manski, Steven J. Miller, Eyvindur Ari Palsson, and Hong Suh
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      DOI: 10.5281/zenodo.10606286

• A39: q-multiparameter-Bernoulli Polynomials and q-multiparameter-Cauchy Polynomials by Jackson's Integrals
  • Takao Komatsu and László Szalay
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      DOI: 10.5281/zenodo.10606299

• A40: Polygonal-Sierpiński-Riesel Sequences with Terms Having at Least Two Distinct Prime Divisors
  • Daniel Baczkowski and Justin Eitner
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      DOI: 10.5281/zenodo.10606308

• A41: On the Relationship Between the Number of Solutions of Congruence Systems and the Resultant of Two Polynomials
  • Dmitry I. Khomovsky
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      DOI: 10.5281/zenodo.10606313

• A42: The Sum of Binomial Coefficients and Integer Factorization
  • Yingpu Deng and Yanbin Pan
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      DOI: 10.5281/zenodo.10606318

• A43: A Problem Related to a Conjecture of Polignac
  • Kellie Bresz, Lenny Jones, Alicia Lamarche, and Maria Markovich
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      DOI: 10.5281/zenodo.10606326

• A44: The Valuative Capacities of the Sets of Sums of Two and of Three Squares
  • Youssef Fares and Keith Johnson
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      DOI: 10.5281/zenodo.10606337

• A45: On Finite Semi-regular Continued Fractions
  • Ritumoni Sarma and Seema Kushwaha
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      DOI: 10.5281/zenodo.10606345

• A46: The Lind-Lehmer Constant for Z_m x Zⁿ
  • Vincent Pigno, Chris Pinner, and Wasin Vipismakul
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      DOI: 10.5281/zenodo.10606350

• A47: Variations on an Error-sum Function for the Convergents of Some Powers of e
  • J.-P. Allouche and Thomas Baruchel
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      DOI: 10.5281/zenodo.10606359

• A48: GoNIII: More Universal Quaternary Quadratic Forms
  • Jacob Hicks and Katherine Thompson
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      DOI: 10.5281/zenodo.10606373

• A49: Approximate Polynomial Structure in Additively Large Sets
  • Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg
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      DOI: 10.5281/zenodo.10606379

• A50: Characterizing Congruence Preserving Functions Z/nZ → Z/mZ Via Rational Polynomials
  • Patrick Cégielski, Serge Grigorieff, and Irène Guessarian
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      DOI: 10.5281/zenodo.10606395

• A51: A Characterization of Wilson-Lerch Primes
  • John Blythe Dobson
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      DOI: 10.5281/zenodo.10606408

• A52: A Congruence for the Fermat Quotient Modulo p³
  • S. Khongsit and P.K. Saikia
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      DOI: 10.5281/zenodo.10606417

• A53: Counting Tamely Ramified Extensions of Local Fields up to Isomorphism
  • Jim Brown, Robert Cass, Kevin James, Rodney Keaton, Salvatore Parenti, and Daniel Shankman
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      DOI: 10.5281/zenodo.10606423

• A54: Integer Addition and Hamming Weight
  • John Y. Kim
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      DOI: 10.5281/zenodo.10606427

• A55: Representations by Quaternary Quadratic Forms with Coefficients 1, 2, 7 or 14
  • Ayşe Alaca and Jamilah Alanazi
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      DOI: 10.5281/zenodo.10623116

• A56: New Examples of Divisibility Sequences
  • Krzysztof Górnisiewicz
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      DOI: 10.5281/zenodo.10623118

• A57: A Congruence Property of Irreducible Laguerre Polynomials in Two Variables
  • Nikolai A. Krylov and Zhangyuan Li
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      DOI: 10.5281/zenodo.10623136

• A58: Two Combinatorial Proofs of Identities Involving Sums of Powers of Binomial Coefficients
  • John Engbers and Christopher Stocker
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      DOI: 10.5281/zenodo.10623146

• A59: r-Completeness of Sequences of Positive Integers
  • William Linz and Edna Jones
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      DOI: 10.5281/zenodo.10623156

• A60: A Remark on A+B and A-A for Compact Sets in Rⁿ
  • Tomasz Schoen and Ilya D. Shkredov
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      DOI: 10.5281/zenodo.10623162

• A61: Fourier Coefficients of a Class of Eta Quotients
  • Barış Kendirli
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      DOI: 10.5281/zenodo.10623172

• A62: Representation of Integers by Ternary Quadratic Forms: A Geometric Approach
  • Gabriel Durham
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      DOI: 10.5281/zenodo.10623180

• A63: Approximating the Fibonacci Sequence
  • Tom Edgar, Hailey Olafson, and James Van Alstine
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      DOI: 10.5281/zenodo.10623190

• A64: Some Properties of Even Moments of Uniform Random Walks
  • Kevin G. Hare and Ghislain McKay
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      DOI: 10.5281/zenodo.10623198

• A65: Evaluationally Coprime Linear Polynomials
  • Randell Heyman
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      DOI: 10.5281/zenodo.10623206

• A66: Refinements of Some Partition Inequalities
  • James Mc Laughlin
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      DOI: 10.5281/zenodo.10623213

• A67: An Analogue of Artin's Primitive Root Conjecture
  • Pallab Kanti Dey and Balesh Kumar
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      DOI: 10.5281/zenodo.10623219

• A68: Quasipolynomial Solutions to the Hofstadter Q-Recurrence
  • Nathan Fox
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      DOI: 10.5281/zenodo.10623239

• A69: Repeated Binomial Coefficients and High-Degree Curves
  • Hugo Jenkins
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      DOI: 10.5281/zenodo.10623246

• A70: High Rank Elliptic Curves with Torsion Z/4Z Induced by Kihara's Elliptic Curves
  • Foad Khoshnam and Dustin Moody
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      DOI: 10.5281/zenodo.10623252

• A71: Linear Recurrence Sequences With Indices in Arithmetic Progression and Their Sums
  • Daniel Birmajer, Juan B. Gil, and Michael D. Weiner
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      DOI: 10.5281/zenodo.10623262

• A72: Alice and Bob Go to Dinner: A Variation on Ménage
  • Vladimir Shevelev and Peter J. C. Moses
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      DOI: 10.5281/zenodo.10623267

• A73: On Miki's Identity for Bernoulli Numbers
  • Takashi Agoh
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      DOI: 10.5281/zenodo.10623275

• A74: On the Congruence x^x ≡ x (mod n)
  • James Hammer, Joshua Harrington, and Lenny Jones
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      DOI: 10.5281/zenodo.10623278

• A75: On Tripling Constant of Multiplicative Subgroups
  • I.D. Shkredov
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      DOI: 10.5281/zenodo.10623304

• A76: Discriminators and k-Regular Sequences
  • Sajed Haque and Jeffrey Shallit
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      DOI: 10.5281/zenodo.10623314

• A77: Equal Sums of Like Powers with Minimum Number of Terms
  • Ajai Choudhry
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      DOI: 10.5281/zenodo.10623321

• A78: Asymptotics for the Partial Fractions of the Restricted Partition Generating Function II
  • Cormac O'Sullivan
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      DOI: 10.5281/zenodo.10623332

• A79: Round Formulas for Exponential Polynomials and the Incomplete Gamma Function
  • Stan Wagon
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      DOI: 10.5281/zenodo.10623335

• A80: k-Lehmer and k-Carmichael Numbers
  • Max Lewis and Victor Scharaschkin
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      DOI: 10.5281/zenodo.10623339

• A81: An Asymptotic Robin Inequality
  • Patrick Solé and Yuyang Zhu
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      DOI: 10.5281/zenodo.10629906

• A82: On a Cubic Moment for Sums of Hecke Eigenvalues
  • Khadija Mbarki
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      DOI: 10.5281/zenodo.10629917

• A83: Upper Bounds for B_h[g]-sets With Small h
  • Craig Timmons
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      DOI: 10.5281/zenodo.10629922

• A84: On the Number of Solutions of a Diophantine Equation Over a Finite Field
  • Norichika Matsuki
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      DOI: 10.5281/zenodo.10629931

• A85: Intersections of Sets of Distance
  • Mauro Di Nasso
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      DOI: 10.5281/zenodo.10629937

• A86: Polynomial Time Graph Families for Arc Kayles
  • Melissa Huggan and Brett Stevens
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      DOI: 10.5281/zenodo.10629952

• A87: On Unavoidable Obstructions in Gaussian Walks
  • Sai Teja Somu and Ram Krishna Pandey
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      DOI: 10.5281/zenodo.10629962

• A88: On Reciprocal Sums Formed by Solutions of Pell's Equation
  • Carsten Elsner
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      DOI: 10.5281/zenodo.10629969

• A89: On Sierpiński Numbers of the Form ϕ(N)/2ⁿ
  • Marcos J. González, Florian Luca, and V. Janitzio Mejía Huguet
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      DOI: 10.5281/zenodo.10629983

Games Articles

• G1: A Note on Concurrent Graph Sharing Games
  • Steven Chaplick, Piotr Micek, Torsten Ueckerdt, and Veit Wiechert
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      DOI: 10.5281/zenodo.10629996

• G2: Pomax Games -- A Family of Integer-valued Partizan Games Played on Posets
  • Erik Järleberg and Jonas Sjöstrand
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      DOI: 10.5281/zenodo.10630010

• G3: Equality Classes of Nim Positions under Misère Play
  • Mark Spindler
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      DOI: 10.5281/zenodo.10630018

• G4: Invariance of the Sprague-Grundy Function for Variants of Wythoff's Game
  • Madeleine Weinstein
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10630026

• G5: Impartial Chocolate Bar Games with a Pass
  • Ryohei Miyadera, Maakito Inoue, and Masanori Fukui
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10630037

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