Combinatorial Number Theory

Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011

Bruce Landman, Melvyn B. Nathanson, Jaroslav Nešetril, Richard J. Nowakowski, Carl Pomerance, Aaron Robertson, Bruce Landman, Melvyn B. Nathanson, Jaroslav Nešetril, Richard J. Nowakowski, Carl Pomerance, Aaron Robertson

• Publisher: De Gruyter
• Year: 2013
• Print ISBN: 9783110280487
• eBook ISBN: 9783110280616
• Edition: 1
• Topic: Mathematics
• Subtopic: Algebra
• Index: Mathematics

This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks.

This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.

Table of contents

• Preface
• 1 The Misère Monoid of One-Handed Alternating Games
• 2 Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra
• 3 On the Differences Between Consecutive Prime Numbers, I
• 4 On Sets of Integers Which Are Both Sum-Free and Product-Free
• 5 Four Perspectives on Secondary Terms in the Davenport–Heilbronn Theorems
• 6 Spotted Tilings and n-Color Compositions
• 7 A Class ofWythoff-Like Games
• 8 On the Multiplicative Order of FnC1=Fn Modulo Fm
• 9 Outcomes of Partizan Euclid
• 10 Lecture Hall Partitions and theWreath Products Ck ≀ Sn