1.

Record Nr.

UNINA9910650074003321

Titolo

Number theory, analysis, and combinatorics : proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapest / / edited by János Pintz [and five others]

Pubbl/distr/stampa

Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014]

©2014

ISBN

9783110282429

3110282429

Edizione

[1st ed.]

Descrizione fisica

1 online resource (418 p.)

Collana

De Gruyter proceedings in mathematics

Altri autori (Persone)

TuránP <1910-1976.> (Paul)

PintzJános

Disciplina

512.7

Soggetti

Number theory

Numerical analysis

Combinatorial analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Front matter -- Preface -- List of contributing authors -- Contents -- Random union-closed families / Balister, Paul / Bollobás, Béla -- Small populations of zeros of L-functions / Conrey, J. Brian / Iwaniec, Henryk -- Turán-type inequalities and the distribution of zeros of entire functions / Csordas, George -- Paul Turán and Probabilistic Number Theory / Elliott, Peter D. T.A. -- Effective results for Diophantine equations over finitely generated domains: A survey / Evertse, Jan-Hendrik / Győry, Kálmán -- On the optimal weight function in the Goldston-Pintz-Yıldırım method for finding small gaps between consecutive primes / Farkas, Bálint / Pintz, János / Révész, Szilárd -- Untangling upper-bound sieves / Friedlander, John B. / Iwaniec, Henryk -- On a theorem of Erdős and Simonovits on graphs not containing the cube / Füredi, Zoltán -- A survey of Turán's equivalent power series / Indlekofer, Karl-Heinz -- Internal twists of L-functions / Kaczorowski, Jerzy / Perelli, Alberto -- Turán's new method and compressive sampling / Kahane, Jean-Pierre -- Turán's graph theorem, measures and probability theory / Katona, Gyula O. H. -- On the Turán-Kubilius



inequality / Kátai, Imre -- Sums of a smooth number and a number with missing digits / Maier, Helmut -- Turán'swork in analytic number theory / Montgomery, Hugh L. -- On the irreducibility of basic automorphic representations / Motohashi, Yoichi -- On composite rational functions / Pethő, Attila / Tengely, Szabolcs -- Some new results on gaps between consecutive primes / Pintz, János -- On some results of Turán about the local behavior of polynomials / Qazi, Mohammed A. / Rahman, Qazi Ibadur -- On multiplicative decompositions of the set of the shifted quadratic residues modulo p / Sárközy, András -- Paul Turán's influence in combinatorics / Simonovits, Miklós -- On optimal interpolatory point systems / Vértesi, Péter -- Paul Turán - A Capsule Biography

Sommario/riassunto

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 Tur