Combinatorial Number Theory: Proceedings of the 'Integers Conference 2007', Carrollton, Georgia, USA, October 24—27, 2007

Book

Combinatorial Number Theory

Proceedings of the 'Integers Conference 2007', Carrollton, Georgia, USA, October 24—27, 2007

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

Language: English

Published/Copyright: 2009

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De Gruyter Proceedings in Mathematics

About this book

This volume contains selected refereed papers based on lectures presented at the ‘Integers Conference 2007’, an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007.

The proceedings include contributions from many distinguished speakers, including George Andrews, Neil Hindman, Florian Luca, Carl Pomerance, Ken Ono and Igor E. Shparlinski. Among the topics considered in these papers are additive number theory, multiplicative number theory, sequences, elementary number theory, theory of partitions, and Ramsey theory.

Author / Editor information

B. M. Landman, University of West Georgia, USA; M. B. Nathanson, City University of New York, USA; J. Nešetril, Charles University, Czech Republic; R. J. Nowakowski, Dalhousie University, Canada; C. Pomerance, Dartmouth College, USA; A. Robertson, Colgate University, USA.

Topics

Frontmatter Requires Authentication Unlicensed Licensed	i
Table of contents Requires Authentication Unlicensed Licensed	vii
The Finite Heine Transformation George E. Andrews Requires Authentication Unlicensed Licensed	1
Finding Almost Squares III Tsz Ho Chan Requires Authentication Unlicensed Licensed	7
Sums and Differences of the Coordinates of Points on Modular Hyperbolas Dennis Eichhorn, Mizan R. Khan, Alan H. Stein and Christian L. Yankov Requires Authentication Unlicensed Licensed	17
Self Generating Sets and Numeration Systems David Garth, Joseph Palmer and Ha Ta Requires Authentication Unlicensed Licensed	41
Small Sets Satisfying the Central Sets Theorem Neil Hindman Requires Authentication Unlicensed Licensed	57
Column-to-Row Operations on Partitions: The Envelopes Brian Hopkins Requires Authentication Unlicensed Licensed	65
On the Euler Product of Some Zeta Functions Xian-Jin Li Requires Authentication Unlicensed Licensed	77
On the Range of the Iterated Euler Function Florian Luca and Carl Pomerance Requires Authentication Unlicensed Licensed	101
Frobenius Numbers of Generalized Fibonacci Semigroups Gretchen L. Matthews Requires Authentication Unlicensed Licensed	117
Combinatorics of Ramanujan–Slater Type Identities James McLaughlin and Andrew V. Sills Requires Authentication Unlicensed Licensed	125
A Mock Theta Function for the Delta-function Ken Ono Requires Authentication Unlicensed Licensed	141
On the Density of Integral Sets with Missing Differences Ram Krishna Pandey and Amitabha Tripathi Requires Authentication Unlicensed Licensed	157
On Pseudosquares and Pseudopowers Carl Pomerance and Igor E. Shparlinski Requires Authentication Unlicensed Licensed	171
Maier Matrices Beyond Z Frank Thorne Requires Authentication Unlicensed Licensed	185
Linear Equations Involving Iterates of σ (N) Tomohiro Yamada Requires Authentication Unlicensed Licensed	193
Heron Sequences and Their Modifications Paul Yiu, K. R. S. Sastry and Shanzhen Gao Requires Authentication Unlicensed Licensed	199
Backmatter Requires Authentication Unlicensed Licensed	205

Publishing information

Pages and Images/Illustrations in book

eBook published on:

April 7, 2009

eBook ISBN:

9783110208504

Hardcover published on:

March 18, 2009

Hardcover ISBN:

9783110202212

Pages and Images/Illustrations in book

Front matter:

8

Main content:

204

https://doi.org/10.1515/9783110208504

eBook ISBN: 9783110208504

Hardcover ISBN: 9783110202212

Keywords for this book

Additive Number Theory; Combinatorial Game Theory; Multiplicative Number Theory; Ramsey Theory; Hypergraphs; Probabilistic Number Theory

Audience(s) for this book

Research Mathematicians, Graduate Students; Academic Libraries

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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Combinatorial Number Theory

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data