A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem

DOI10.4064/aa220728-31-3OpenAlexW4379793370MaRDI QIDQ6071853

János Pintz

Publication date: 29 November 2023

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa220728-31-3

zbMATH Keywords

primeszeroscircle methodtwin primesexceptional zerosmajor arcsGoldbach

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

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• Sur l'hypothèse de Goldbach pour presque tous les nombres pairs

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