Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

被引：14

作者：

Koukoulopoulos, Dimitris ^{[1
]}

机构：

[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

来源：

COMPOSITIO MATHEMATICA | 2013年 / 149卷 / 07期

关键词：

prime number theorem for arithmetic progressions; multiplicative functions; Halasz's theorem; elementary proofs of the prime number theorem; Siegel's theorem; ZETA-FUNCTION;

D O I：

10.1112/S0010437X12000802

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Building on the concept of pretentious multiplicative functions, we give a new and largely elementary proof of the best result known on the counting function of primes in arithmetic progressions.

引用

页码：1129 / 1149

页数：21

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