Number Theory and Combinatorics: A Collection in Honor of the Mathematics of Ronald Graham

Published by De Gruyter 2022

Number Theory and Combinatorics

A Collection in Honor of the Mathematics of Ronald Graham

Edited by: Bruce M. Landman , Florian Luca , Melvyn B. Nathanson , Jaroslav Nešetřil and Aaron Robertson

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110754216

Overview
Contents

About this book

Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community.

This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.

Original contributions by leading experts in combinatorics and number theory

Includes essays and memories of Professor Graham from those that knew him

Of interest to researchers and graduate students working in　combinatorics and number theory.

Author / Editor information

B. M. Landman, Augusta U.; F. Luca, U.Witwatersrand; M. B. Nathanson, CUNY; J. Nešetril, Charles U.; A. Robertson, Colgate U.

Topics

Frontmatter Publicly Available Download PDF	I
Foreword Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
Multivariate difference Gončarov polynomials Ayomikun Adeniran, Lauren Snider and Catherine Yan Requires Authentication Unlicensed Licensed Download PDF	1
On an inequality in a 1970 paper of R. L. Graham J.-P. Allouche Requires Authentication Unlicensed Licensed Download PDF	21
Arithmetic progressions in sumsets of sparse sets Noga Alon, Ryan Alweiss, Yang P. Liu, Anders Martinsson and Shyam Narayanan Requires Authentication Unlicensed Licensed Download PDF	27
Multidimensional Padé approximation of binomial functions: equalities Michael A. Bennett, Greg Martin and Kevin O’Bryant Requires Authentication Unlicensed Licensed Download PDF	35
Graphical enumeration and stained glass windows, 1: rectangular grids Lars Blomberg, S. R. Shannon and N. J. A. Sloane Requires Authentication Unlicensed Licensed Download PDF	65
Two extensions of Hilbert’s cube lemma Tom C Brown and Shahram Mohsenipour Requires Authentication Unlicensed Licensed Download PDF	99
The Gallai–Ramsey number for a tree versus complete graphs Mark Budden Requires Authentication Unlicensed Licensed Download PDF	109
On Levine’s notorious hat puzzle Joe Buhler, Chris Freiling, Ron Graham, Jonathan Kariv, James R Roche, Mark Tiefenbruck, Clint Van Alten and Dmytro Yeroshkin Requires Authentication Unlicensed Licensed Download PDF	115
Recurrence ranks and moment sequences Joshua Cooper and Grant Fickes Requires Authentication Unlicensed Licensed Download PDF	167
On weak twins and up-and-down subpermutations Andrzej Dudek, Jarosław Grytczuk and Andrzej Ruciński Requires Authentication Unlicensed Licensed Download PDF	187
Distance graphs and arithmetic progressions Sohail Farhangi and Jarosław Grytczuk Requires Authentication Unlicensed Licensed Download PDF	203
Consecutive primes which are widely digitally delicate Michael Filaseta and Jacob Juillerat Requires Authentication Unlicensed Licensed Download PDF	209
Spanning trees and domination in hypercubes Jerrold R Griggs Requires Authentication Unlicensed Licensed Download PDF	249
Rook domination on hexagonal hexagon boards Heiko Harborth and Hauke Nienborg Requires Authentication Unlicensed Licensed Download PDF	259
Strongly image partition regular matrices Neil Hindman and Dona Strauss Requires Authentication Unlicensed Licensed Download PDF	267
Introducing shift-constrained Rado numbers Brian Hopkins Requires Authentication Unlicensed Licensed Download PDF	285
Mertens’ prime product formula, dissected Jared Duker Lichtman Requires Authentication Unlicensed Licensed Download PDF	297
Curious convergent series of integers with missing digits Melvyn B. Nathanson Requires Authentication Unlicensed Licensed Download PDF	311
A note on Carmichael numbers in residue classes Carl Pomerance Requires Authentication Unlicensed Licensed Download PDF	321
Tilted corners in integer grids I. D. Shkredov and J. Solymosi Requires Authentication Unlicensed Licensed Download PDF	329
Remembrances Noga Alon, Tom C. Brown, Steve Butler, Jerrold R. Griggs, Neil Hindman, Veselin Jungic, Bruce M. Landman and Jaroslav Nešetřil Requires Authentication Unlicensed Licensed Download PDF	339
A selected bibliography of Ron Graham Steve Butler Requires Authentication Unlicensed Licensed Download PDF	355

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Academic researchers and graduate students
Pages
- Front matter: 8
- Main content: 362
Illustrations
- Illustrations: 30
- Coloured Illustrations: 19
- Tables: 15
Keywords: Mathematik; Kombinatorik; Diskrete Mathematik

eBook

Published: April 19, 2022
ISBN: 9783110754216

Hardcover

Published: May 3, 2022
ISBN: 9783110753431