Combinatorial Number Theory: Proceedings of the 'Integers Conference 2005' in Celebration of the 70th Birthday of Ronald Graham, Carrollton, Georgia, October 27-30, 2005

Book

Combinatorial Number Theory

Proceedings of the 'Integers Conference 2005' in Celebration of the 70th Birthday of Ronald Graham, Carrollton, Georgia, October 27-30, 2005

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

Language: English

Published/Copyright: 2007

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This book is in the series

De Gruyter Proceedings in Mathematics

About this book

This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.

Author / Editor information

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

Topics

i-iv Requires Authentication Unlicensed Licensed	i
Preface Requires Authentication Unlicensed Licensed	v
Contents Requires Authentication Unlicensed Licensed	vii
On minimal colorings without monochromatic solutions to a linear equation Boris Alexeev, Jacob Fox and Ron Graham Requires Authentication Unlicensed Licensed	1
Algorithms for finding and proving balanced Q² identities Geoffrey Apel, Richard Blecksmith and John Brillhart Requires Authentication Unlicensed Licensed	23
Upper bounds for the Davenport constant R. Balasubramanian and Gautami Bhowmik Requires Authentication Unlicensed Licensed	61
An elementary method to compute prime densities in F_q[X] Christian Ballot Requires Authentication Unlicensed Licensed	71
Further analogues of the Rogers-Ramanujan functions with applications to partitions Nayandeep Deka Baruah and Jonali Bora Requires Authentication Unlicensed Licensed	81
On a problem of Ore Ognian Trifonov and Sharon E. Behum Requires Authentication Unlicensed Licensed	103
Some problems in view of recent developments of the Erdős Ginzburg Ziv theorem Arie Bialostocki Requires Authentication Unlicensed Licensed	111
Universal juggling cycles Fan Chung and Ron Graham Requires Authentication Unlicensed Licensed	121
Five guidelines for partition analysis with applications to lecture hall-type theorems Sylvie Corteel, Sunyoung Lee and Carla D. Savage Requires Authentication Unlicensed Licensed	131
Arithmetic progressions in sparse sumsets Ernie Croot, Imre Ruzsa and Tomasz Schoen Requires Authentication Unlicensed Licensed	157
Zero-sum balanced binary sequences S. Eliahou, J.M. Marín and M. P. Revuelta Requires Authentication Unlicensed Licensed	165
Sub-Ramsey numbers for arithmetic progressions and Schur triples Jacob Fox, Veselin Jungić and Radoš Radoičić Requires Authentication Unlicensed Licensed	179
The Raleigh game Aviezri S. Fraenkel Requires Authentication Unlicensed Licensed	199
The Sierpiński sieve of Nim-varieties and binomial coefficients Aviezri S. Fraenkel and Alex Kontorovich Requires Authentication Unlicensed Licensed	209
Some of my favorite problems in Ramsey theory Ron Graham Requires Authentication Unlicensed Licensed	229
Extremal problems about asymptotic bases: a survey Georges Grekos Requires Authentication Unlicensed Licensed	237
Enumeration of 3-letter patterns in compositions Silvia Heubach and Toufik Mansour Requires Authentication Unlicensed Licensed	243
Partition regularity of matrices Neil Hindman Requires Authentication Unlicensed Licensed	265
Exact enumeration of Garden of Eden partitions Brian Hopkins and James A. Sellers Requires Authentication Unlicensed Licensed	299
Recent progress in Ramsey theory on the integers Abdollah Khodkar and Bruce Landman Requires Authentication Unlicensed Licensed	305
Some combinatorial properties of the leaping convergents Takao Komatsu Requires Authentication Unlicensed Licensed	315
A characterization of lattice-ordered graphs David Leach and Matt Walsh Requires Authentication Unlicensed Licensed	327
On monochromatic ascending waves Tim LeSaulnier and Aaron Robertson Requires Authentication Unlicensed Licensed	333
More on points and arcs Vsevolod F. Lev Requires Authentication Unlicensed Licensed	347
Irreducible radical extensions and Euler-function chains Florian Luca and Carl Pomerance Requires Authentication Unlicensed Licensed	351
A variant of the Frobenius problem and generalized Suzuki semigroups Gretchen L. Matthews and Rhett S. Robinson Requires Authentication Unlicensed Licensed	363
Linear quantum addition rules Melvyn B. Nathanson Requires Authentication Unlicensed Licensed	371
Semigroups with the Erdős-Turán property J. Nešetřil and O. Serra Requires Authentication Unlicensed Licensed	381
Partizan geography on K_n × K₂ R. J. Nowakowski and A. A. Siegel Requires Authentication Unlicensed Licensed	389
On Z.-W. Sun’s disjoint congruence classes conjecture Kevin O’Bryant Requires Authentication Unlicensed Licensed	403
The game of Take Turn Kennan Shelton Requires Authentication Unlicensed Licensed	413
Graph eigenvalues and Walsh spectrum of Boolean functions Pantelimon Stănică Requires Authentication Unlicensed Licensed	431
On covering numbers Zhi-Wei Sun Requires Authentication Unlicensed Licensed	443
Symbolic moment calculus II: Why is Ramsey theory sooooo eeeenormously hard? Doron Zeilberger Requires Authentication Unlicensed Licensed	455
List of participants Requires Authentication Unlicensed Licensed	461
Publications of Ron L. Graham Requires Authentication Unlicensed Licensed	463

Publishing information

Pages and Images/Illustrations in book

eBook published on:

December 22, 2011

eBook ISBN:

9783110925098

Hardcover published on:

March 19, 2007

Hardcover ISBN:

9783110190298

Edition:

Reprint 2012

Pages and Images/Illustrations in book

Front matter:

9

Main content:

489

Other:

1 frontispiece

https://doi.org/10.1515/9783110925098

eBook ISBN: 9783110925098

Hardcover ISBN: 9783110190298

Keywords for this book

Combinatorics; number theory

Audience(s) for this book

Researchers and Students specializing in Combinatorics or Number Theory, 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