Combinatorial Number Theory

by Landman, B.

• ISBN13: 9783110190298
• ISBN10: 311019029X
• Format: Hardcover
• Copyright: 2007-03-01
• Publisher: De Gruyter

Summary

This volume contains selected refereed papers based on lectures presented at the 'Integers Conference 2005', an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2005 in celebration of the 70th birthday of Ronald Graham. Widely recognized in mathematics, Dr. Graham is a leader in combinatorial number theory, theoretical computer science, graph theory, and other disciplines.

Table of Contents

Preface	p. v
On minimal colorings without monochromatic solutions to a linear equation	p. 1
Algorithms for finding and proving balanced q2 identities	p. 23
Upper bounds for the Davenport constant	p. 61
An elementary method to compute prime densities in Fq[X]	p. 71
Further analogues of the Rogers-Ramanujan functions with applications to partitions	p. 81
On a problem of Ore	p. 103
Some problems in view of recent developments of the Erdös Ginzburg Ziv theorem	p. 111
Universal juggling cycles	p. 121
Five guidelines for partition analysis with applications to lecture hall-type theorems	p. 131
Arithmetic progressions in sparse sumsets	p. 157
Zero-sum balanced binary sequences	p. 165
Sub-Ramsey numbers for arithmetic progressions and Schur triples	p. 179
The Raleigh game	p. 199
The Sierpiński sieve of Nim-varieties and binomial coefficients	p. 209
Some of my favorite problems in Ramsey theory	p. 229
Extremal problems about asymptotic bases: a survey	p. 237
Enumeration of 3-letter patterns in compositions	p. 243
Partition regularity of matrices	p. 265
Exact enumeration of Garden of Eden partitions	p. 299
Recent progress in Ramsey theory on the integers	p. 305
Some combinatorial properties of the leaping convergents	p. 315
A characterization of lattice-ordered graphs	p. 327
On monochromatic ascending waves	p. 333
More on points and arcs	p. 347
Irreducible radical extensions and Euler-function chains	p. 351
A variant of the Frobenius problem and generalized Suzuki semigroups	p. 363
Linear quantum addition rules	p. 371
Semigroups with the Erdös-Turán property	p. 381
Partizan geography on Kn x K2	p. 389
On Z.-W. Sun's disjoint congruence classes conjecture	p. 403
The game of Take Turn	p. 413
Graph eigenvalues and Walsh spectrum of Boolean functions	p. 431
On covering numbers	p. 443
Symbolic moment calculus II: Why is Ramsey theory sooooo eeeenormously hard?	p. 455
List of participants	p. 461
Publications of	p. 463
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