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On Bombieri's asymptotic sieve

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Publication:971846
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DOI10.1016/j.jnt.2009.10.014zbMath1229.11123OpenAlexW1971636351MaRDI QIDQ971846

Olivier Ramaré

Publication date: 17 May 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.10.014


zbMATH Keywords

bilinear formssieve methodsBombieri's asymptotic sieve


Mathematics Subject Classification ID

Applications of sieve methods (11N36) Sieves (11N35)


Related Items (3)

Modular ternary additive problems with irregular or prime numbers ⋮ The number of rationals determined by large sets of sifted integers ⋮ Every odd number greater than $1$ is the sum of at most five primes



Cites Work

  • Approximate formulas for some functions of prime numbers
  • The large sieve
  • On twin almost primes
  • Explicit upper bounds for exponential sums over primes
  • Chen's double sieve, Goldbach's conjecture and the twin prime problem
  • Brun's fundamental lemma and exponential sums over primes
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