Combinatorial Number Theory : : Proceedings of the 'Integers Conference 2005' in Celebration of the 70th Birthday of Ronald Graham, Carrollton, Georgia, October 27-30, 2005 / / ed. by Bruce Landman, Melvyn B. Nathanson, Jaroslav Nesetril, Richard J. Nowakowski, Carl Pomerance.
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 Gra...
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Table of Contents:
- i-iv
- Preface
- Contents
- On minimal colorings without monochromatic solutions to a linear equation
- Algorithms for finding and proving balanced Q2 identities
- Upper bounds for the Davenport constant
- An elementary method to compute prime densities in Fq[X]
- Further analogues of the Rogers-Ramanujan functions with applications to partitions
- On a problem of Ore
- Some problems in view of recent developments of the Erdős Ginzburg Ziv theorem
- Universal juggling cycles
- Five guidelines for partition analysis with applications to lecture hall-type theorems
- Arithmetic progressions in sparse sumsets
- Zero-sum balanced binary sequences
- Sub-Ramsey numbers for arithmetic progressions and Schur triples
- The Raleigh game
- The Sierpiński sieve of Nim-varieties and binomial coefficients
- Some of my favorite problems in Ramsey theory
- Extremal problems about asymptotic bases: a survey
- Enumeration of 3-letter patterns in compositions
- Partition regularity of matrices
- Exact enumeration of Garden of Eden partitions
- Recent progress in Ramsey theory on the integers
- Some combinatorial properties of the leaping convergents
- A characterization of lattice-ordered graphs
- On monochromatic ascending waves
- More on points and arcs
- Irreducible radical extensions and Euler-function chains
- A variant of the Frobenius problem and generalized Suzuki semigroups
- Linear quantum addition rules
- Semigroups with the Erdős-Turán property
- Partizan geography on Kn × K2
- On Z.-W. Sun’s disjoint congruence classes conjecture
- The game of Take Turn
- Graph eigenvalues and Walsh spectrum of Boolean functions
- On covering numbers
- Symbolic moment calculus II: Why is Ramsey theory sooooo eeeenormously hard?
- List of participants
- Publications of Ron L. Graham
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