Number Theory, Analysis, and Combinatorics

Published by De Gruyter 2013

Number Theory, Analysis, and Combinatorics

Proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapest

Edited by: János Pintz , András Biró , Kálmán Györy , Gergely Harcos , Miklós Simonovits and József Szabados

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110282429

Overview
Contents

About this book

Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics.

The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects of Paul Turán's work and influence. Most of the lectures allowed participants to report about their own work in the above mentioned areas of mathematics.

Author information

János Pintz, András Biró, Hungarian Academy of Sciences, Alfréd Rényi Institute of Mathematics, Budapest, Hungary; Kálmán Győry, University of Debrecen, Hungary; Gergely Harcos, Miklós Simonovits, József Szabadis, Hungarian Academy of Sciences, Alfréd Rényi Institute of Mathematics, Budapest, Hungary.

Supplementary Materials

Contents

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
List of contributing authors Requires Authentication Unlicensed Licensed Download PDF	vii
Contents Publicly Available Download PDF	xi
Random union-closed families Paul Balister and Béla Bollobás Requires Authentication Unlicensed Licensed Download PDF	1
Small populations of zeros of L-functions J. Brian Conrey and Henryk Iwaniec Requires Authentication Unlicensed Licensed Download PDF	11
Turán-type inequalities and the distribution of zeros of entire functions George Csordas Requires Authentication Unlicensed Licensed Download PDF	25
Paul Turán and Probabilistic Number Theory Peter D. T.A. Elliott Requires Authentication Unlicensed Licensed Download PDF	41
Effective results for Diophantine equations over finitely generated domains: A survey Jan-Hendrik Evertse and Kálmán Győry Requires Authentication Unlicensed Licensed Download PDF	63
On the optimal weight function in the Goldston–Pintz–Yıldırım method for finding small gaps between consecutive primes Bálint Farkas, János Pintz and Szilárd Révész Requires Authentication Unlicensed Licensed Download PDF	75
Untangling upper-bound sieves John B. Friedlander and Henryk Iwaniec Requires Authentication Unlicensed Licensed Download PDF	105
On a theorem of Erdős and Simonovits on graphs not containing the cube Zoltán Füredi Requires Authentication Unlicensed Licensed Download PDF	113
A survey of Turán’s equivalent power series Karl-Heinz Indlekofer Requires Authentication Unlicensed Licensed Download PDF	127
Internal twists of L-functions Jerzy Kaczorowski and Alberto Perelli Requires Authentication Unlicensed Licensed Download PDF	145
Turán’s new method and compressive sampling Jean-Pierre Kahane Requires Authentication Unlicensed Licensed Download PDF	155
Turán’s graph theorem, measures and probability theory Gyula O. H. Katona Requires Authentication Unlicensed Licensed Download PDF	167
On the Turán–Kubilius inequality Imre Kátai Requires Authentication Unlicensed Licensed Download PDF	177
Sums of a smooth number and a number with missing digits Helmut Maier Requires Authentication Unlicensed Licensed Download PDF	187
Turán’swork in analytic number theory Hugh L. Montgomery Requires Authentication Unlicensed Licensed Download PDF	205
On the irreducibility of basic automorphic representations Yoichi Motohashi Requires Authentication Unlicensed Licensed Download PDF	221
On composite rational functions Attila Pethő and Szabolcs Tengely Requires Authentication Unlicensed Licensed Download PDF	241
Some new results on gaps between consecutive primes János Pintz Requires Authentication Unlicensed Licensed Download PDF	261
On some results of Turán about the local behavior of polynomials Mohammed A. Qazi and Qazi Ibadur Rahman Requires Authentication Unlicensed Licensed Download PDF	279
On multiplicative decompositions of the set of the shifted quadratic residues modulo p András Sárközy Requires Authentication Unlicensed Licensed Download PDF	295
Paul Turán’s influence in combinatorics Miklós Simonovits Requires Authentication Unlicensed Licensed Download PDF	309
On optimal interpolatory point systems Péter Vértesi Requires Authentication Unlicensed Licensed Download PDF	393
Paul Turán – A Capsule Biography Requires Authentication Unlicensed Licensed Download PDF	403

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate and PhD Students, Researchers in Number Theory, Analysis and Combinatorics; Academic Libraries
Pages
- Front matter: 12
- Main content: 404
Illustrations
- Illustrations: 8
- Tables: 4
Keywords: Paul Turán; Number Theory; Analysis; Combinatorics

eBook

Published: December 12, 2013
ISBN: 9783110282429

Hardcover

Published: December 19, 2013
ISBN: 9783110282375