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

zbMath1315.11076arXiv1306.2133MaRDI QIDQ2874917

Bálint Farkas, János Pintz, Szilárd Gy. Révész

Publication date: 12 August 2014

Full work available at URL: https://arxiv.org/abs/1306.2133

zbMATH Keywords

Bessel differential equationgaps between primesprime distributionBessel function of the first and second kindGoldston-Pintz-Yıldırım methodself-adjoint Fredholm type operator

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Eigenvalue problems for linear operators (47A75) (Semi-) Fredholm operators; index theories (47A53) Distribution of primes (11N05) Optimality conditions for problems involving ordinary differential equations (49K15) Existence theories for free problems in one independent variable (49J05)

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Variants of the Selberg sieve, and bounded intervals containing many primes

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