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Almost primes in various settings

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Publication:6051481
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DOI10.1112/mtk.12132zbMath1523.11162arXiv1806.09034OpenAlexW2809933404MaRDI QIDQ6051481

Paweł Lewulis

Publication date: 20 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09034


zbMATH Keywords

Elliot-Halberstam conjecture


Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of primes (11N05) Sieves (11N35)




Cites Work

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  • Variants of the Selberg sieve, and bounded intervals containing many primes
  • Primes in tuples. I
  • Primes in arithmetic progressions to large moduli
  • Bounded gaps between primes
  • On almost prime \(k\)-tuples
  • ALMOST‐PRIME ‐TUPLES
  • Bounded gaps between products of primes with applications to ideal class groups and elliptic curves
  • A smoothed GPY sieve
  • Small gaps between products of two primes
  • An induction principle for the generalization of Bombieri's prime number theorem
  • Primes in intervals of bounded length
  • 3-tuples have at most 7 prime factors infinitely often
  • Small gaps between primes


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