Combinatorial Number Theory: Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011

Published by De Gruyter 2013

Combinatorial Number Theory

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

Edited by: Bruce Landman , Melvyn B. Nathanson , Jaroslav Nešetril , Richard J. Nowakowski , Carl Pomerance and Aaron Robertson
With contributions by: Aviezri S. Fraenkel , Daniel A. Goldston , Neil Hindman , Brian Hopkins , John H. Johnson , Takao Komatsu , Pär Kurlberg , Jeffrey C. Lagarias , Andrew H. Ledoan , Florian Luca , Neil A. McKay , Rebecca Milley , Richard J. Nowakowski , Paul Ottaway , Thomas W. Pensyl , Carla D. Savage , Yohei Tachiya , Yuval Tanny and Frank Thorne

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110280616

Overview
Contents

About this book

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.

Author / Editor information

Bruce M. Landman, University of West Georgia, Carrollton, USA; Melvyn B. Nathanson, The City University of New York, Bronx, USA; Jaroslav Nešetril, Charles University, Prague, Czech Republic; Richard J. Nowakowski, Dalhousie University, Halifax, Canada; Carl Pomerance, Dartmouth College, Hanover, ; Aaron Robertson, Colgate University, Hamilton, USA.

Supplementary Materials

Contents

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
Contents Requires Authentication Unlicensed Licensed Download PDF	vii
Chapter 1: The Misère Monoid of One-Handed Alternating Games Rebecca Milley, Richard J. Nowakowski and Paul Ottaway Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2: Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra Neil Hindman and John H. Johnson Requires Authentication Unlicensed Licensed Download PDF	15
Chapter 3: On the Differences Between Consecutive Prime Numbers, I Daniel A. Goldston and Andrew H. Ledoan Requires Authentication Unlicensed Licensed Download PDF	37
Chapter 4 On Sets of Integers Which Are Both Sum-Free and Product-Free Pär Kurlberg, Jeffrey C. Lagarias and Carl Pomerance Requires Authentication Unlicensed Licensed Download PDF	45
Chapter 5: Four Perspectives on Secondary Terms in the Davenport–Heilbronn Theorems Frank Thorne Requires Authentication Unlicensed Licensed Download PDF	55
Chapter 6: Spotted Tilings and n-Color Compositions Brian Hopkins Requires Authentication Unlicensed Licensed Download PDF	79
Chapter 7: A Class of Wythoff-Like Games Aviezri S. Fraenkel and Yuval Tanny Requires Authentication Unlicensed Licensed Download PDF	91
Chapter 8: On the Multiplicative Order of F_n+1/F_n Modulo F_m Takao Komatsu, Florian Luca and Yohei Tachiya Requires Authentication Unlicensed Licensed Download PDF	109
Chapter 9: Outcomes of Partizan Euclid Neil A. McKay and Richard J. Nowakowski Requires Authentication Unlicensed Licensed Download PDF	123
Chapter 10: Lecture Hall Partitions and the Wreath Products C_k ≀ S_n Thomas W. Pensyl and Carla D. Savage Requires Authentication Unlicensed Licensed Download PDF	137
Index Requires Authentication Unlicensed Licensed Download PDF	155

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate Students, Researchers, and Lecturers in Mathematics; Academic Libraries
Pages
- Front matter: 9
- Main content: 157
Illustrations
- Illustrations: 18
Keywords: Combinatorial Number Theory; Partition; Combinatorial Game; Ramsey Theory

eBook

Published: August 29, 2013
ISBN: 9783110280616

Hardcover

Published: August 19, 2013
ISBN: 9783110280487