Abelian theorems, Farey series and the Riemann hypothesis

被引：4

作者：

Yoshimoto, M ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

来源：

RAMANUJAN JOURNAL | 2004年 / 8卷 / 02期

关键词：

Riemann hypothesis; Farey series; abelian theorems;

D O I：

10.1023/B:RAMA.0000040478.59518.9b

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to provide unconditional estimates for the error terms associated with Farey series that are comparable to error terms in the prime number theorem, and also to provide error terms for Farey series based on implications of the RH(alpha).

引用

页码：131 / 145

页数：15

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