On the products arising from the Kummer conjecture

被引：2

作者：

Zhang, Jun Huai ^{[1
]}

Yi, Yuan ^{[1
]}

Xi, Ping ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Res Ctr Basic Sci, Xian 710049, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Kummer conjecture; Dirichlet L-function; Dirichlet character; CYCLOTOMIC FIELD; CLASS NUMBER; 1ST FACTOR;

D O I：

10.1007/s10114-012-9491-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let q be a sufficiently large integer and chi be a Dirichlet character modulo q. In this paper, we extend the product I (chi(-1)=-1) L(1, chi) with prime q, arising from the Kummer conjecture, to the products of some general Dirichlet series, and give some meaningful estimates for them.

引用

页码：1677 / 1688

页数：12

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