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On the Connection Between the Goldbach Conjecture and the Elliott-Halberstam Conjecture

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Publication:5051834
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DOI10.1007/978-3-030-67996-5_17OpenAlexW3193292787MaRDI QIDQ5051834

Huixi Li, Jing-Jing Huang

Publication date: 18 November 2022

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03811

zbMATH Keywords

level of distributionElliott-Halberstam conjectureGoldbach conjectureMöbius disjointness


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32)




Cites Work

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  • On an error term of Landau. II
  • The polynomial \(X^2+Y^4\) captures its primes
  • Asymptotic sieve for primes
  • Variants of equidistribution in arithmetic progression and the twin prime conjecture
  • Twin primes and the parity problem
  • Bounded gaps between primes
  • A direct attempt to goldbach problem
  • Gaussian primes
  • Small gaps between primes
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