On long $\kappa$-tuples with few prime factors

Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
10.1112/plms/pdr026
Title :
On long $\kappa$-tuples with few prime factors
Author(s) :
Ramaré, Olivier [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Proceedings of the London Mathematical Society
Pages :
158-196
Publisher :
London Mathematical Society
Publication date :
2012-01
ISSN :
0024-6115
HAL domain(s) :
Mathématiques [math]/Théorie des nombres [math.NT]
English abstract : [en]
We prove that there are infinitely many integers n such that the total number of prime factors of $(n + h_1) \cdots (n + h_\kappa)$ is exactly $(1 + o(1))\kappa\log\kappa$. Our result even ensures us that these prime factors ...
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Language :
Anglais
Popular science :
Non
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Source :
Harvested from HAL
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