Chapter On the optimal weight function in the Goldston–Pintz–Yıldırım method for finding small gaps between consecutive primes

Farkas, Bálint; Pintz, János; Biró, András; Györy, Kálmán

doi:10.1515/9783110282429.75

Author(s)

Farkas, Bálint

Pintz, János

Biró, András

Györy, Kálmán

Contributor(s)

Harcos, Gergely (editor)

Simonovits, Miklós (editor)

Szabados, József (editor)

Collection

European Research Council (ERC)

Language

English

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Abstract

We work out the optimization problem, initiated by K. Soundararajan, for the choice of the underlying polynomialused in the construction of the weight function in the Goldston–Pintz–Yıldırım method for finding small gaps between primes.

Book

Number Theory, Analysis, and Combinatorics: Proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapest; Number Theory, Analysis, and Combinatorics: Proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapest; Number Theory, Analysis, and Combinatorics: Proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapest

URI

https://doab-dev.siscern.org/handle/20.500.12854/162613

Keywords

Paul Turán; Number Theory; Analysis CombinatoricsPaul Turán Number Theory Analysis Combinatorics; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBD Discrete mathematics; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBH Number theory; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory