On Bombieri's asymptotic sieve
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
On Bombieri's asymptotic sieve
Author(s) :
Ramaré, Olivier [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Journal of Number Theory
Pages :
1155-1189
Publisher :
Elsevier
Publication date :
2010-05
ISSN :
0022-314X
English keyword(s) :
Sieve
Bombieri asymptotic sieve
bilinear form
Bombieri asymptotic sieve
bilinear form
HAL domain(s) :
Mathématiques [math]/Théorie des nombres [math.NT]
English abstract : [en]
We improve the error term in the Bombieri asympotic sieve when the summation is restricted to integers having at most two prime factors. This results in a refined bilinear decomposition for the characteristic function of ...
Show more >We improve the error term in the Bombieri asympotic sieve when the summation is restricted to integers having at most two prime factors. This results in a refined bilinear decomposition for the characteristic function of the primes that enables us to get a best possible estimate for the trigonometric polynomial over primes.Show less >
Show more >We improve the error term in the Bombieri asympotic sieve when the summation is restricted to integers having at most two prime factors. This results in a refined bilinear decomposition for the characteristic function of the primes that enables us to get a best possible estimate for the trigonometric polynomial over primes.Show less >
Language :
Anglais
Popular science :
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