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

by Bruce Landman (Editor), Melvyn B. Nathanson (Editor), Jaroslav Nesetril (Editor), Richard J. Nowakowski (Editor), Carl Pomerance (Editor)

Overview

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.

Product Details

ISBN-13:	9783110190298
Publisher:	De Gruyter
Publication date:	03/19/2007
Series:	De Gruyter Proceedings in Mathematics
Edition description:	Reprint 2012
Pages:	498
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

About the Author

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.

Table of Contents

Preface v

On minimal colorings without monochromatic solutions to a linear equation B. Alexeev J. Fox R. Graham 1

Algorithms for finding and proving balanced Q2 identities G. Apel R. Blecksmith J. Brillhart 23

Upper bounds for the Davenport constant R. Balasubramanian G. Bhowmik 61

An elementary method to compute prime densities in Fq[X] C. Ballot 71

Further Analogues of the Rogers-Ramanujan functions with applications to partitions N. D. Baruah J. Bora 81

On a problem of Ore O. Trifonov S. E. Behum 103

Some problems in view of recent developments of the Erdos Ginzburg Ziv theorem A. Bialostocki 111

Universal juggling cycles F. Chung R. Graham 121

Five guidelines for partition analysis with applications to lecture hall-type theorems S. Corteel S. Lee C. D. Savage 131

Arithmetic progressions in sparse sumsets E. Croot I. Ruzsa T. Schoen 157

Zero-sum balanced binary sequences S. Eliahou J. M. Marin M. P. Revuelta 165

Sub-Ramsey numbers for arithmetic progressions and Schur triples J. Fox V. Jungic R. Radoicic 179

The Raleigh game A. S. Fraenkel 199

The Sierpinski sieve of Nim-varieties and binomial coefficients A. Fraenkel A. Kontorovich 209

Some of my favorite problems in Ramsey theory R. Graham 229

Extremal problems about asymptotic bases: a survey G. Grekos 237

Enumeration of 3-letter patterns in compositions S. Heubach T. Mansour 243

Partition regularity of matrices N. Hindman 265

Exact enumeration of Garden of Eden partitions B. Hopkins J. A. Sellers 299

Recent progress in Ramsey theory on the integers A. Khodkar B. Landman 305

Some combinatorial properties of the leaping convergents T. Komatsu 315

A characterization of lattice-orderedgraphs D. Leach M. Walsh 327

On monochromatic ascending waves T. LeSaulnier A. Robertson 333

More on points and arcs V. F. Lev 347

Irreducible radical extensions and Euler-function chains F. Luca C. Pomerance 351

A variant of the Frobenius problem and generalized Suzuki semigroups G. L. Matthews R. S. Robinson 363

Linear quantum addition rules M. B. Nathanson 371

Semigroups with the Erdos-Turan property J. Nesetril O. Serra 381

Partizan geography on Kn x K2 R. J. Nowakowski A. A. Siegel 389

On Z.-W. Sun's disjoint congruence classes conjecture K. O'Bryant 403

The game of Take Turn K. Shelton 413

Graph eigenvalues and Walsh spectrum of Boolean functions P. Stanica 431

On covering numbers Z. W. Sun 443

Symbolic moment calculus II: Why is Ramsey theory sooooo eeeenormously hard? D. Zeilberger 455

List of participants 461

Publications of Ron L. Graham 463