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

• Main Author: Farkas, Bálint (auth)
• Other Authors: Pintz, János (auth), Biró, András (auth), Györy, Kálmán (auth), Harcos, Gergely (Editor), Simonovits, Miklós (Editor), Szabados, József (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Berlin/Boston De Gruyter 2013
• Subjects: Discrete mathematics; Algebra; Number theory; Calculus & mathematical analysis; Combinatorics & graph theory; Paul Turán; Number Theory; Analysis CombinatoricsPaul Turán Number Theory Analysis Combinatorics
• Online Access: OAPEN Library: download the publication; OAPEN Library: description of the publication

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.