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: eBook
• 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: Get fulltext
• ISBN: 9783110282429.75; 9783110282375
• Access: Open Access

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.