An effective version of the Bombieri–Vinogradov theorem, and applications to Chen’s theorem and to sums of primes and powers of two

被引：0

作者：

Laurent Habsieger

Jimena Sivak-Fischler

机构：

[1] Institut Camille Jordan UMR 5208,CNRS, Université Lyon 1, INSA de Lyon, École Centrale de Lyon

[2] Université Paris-Sud,Bâtiment 425

来源：

Archiv der Mathematik | 2010年 / 95卷

关键词：

Bombieri–Vinogradov theorem; Kloosterman sums; Chen’s theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we give an effective version of the Bombieri–Vinogradov theorem of Bombieri, Friedlander, and Iwaniec. As applications, we refine Chen’s theorem on primes with difference h for h ≤ x1/56, with a consequence on integers of the form p + 2k.

引用

页码：557 / 566

页数：9

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