Note on the number of integral ideals in Galois extensions

被引：0

作者：

L GuangShi1

2Department of Mathematics

机构：

来源：

Science China(Mathematics) | 2010年 / 53卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Dedekind zeta-function; integral ideal; congruences;

D O I：

暂无

中图分类号：

O172.2 [积分学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraic number field of finite degree over the rational filed Q.Let ak be the number of integral ideals in K with norm k.In this paper we study the l-th integral power sum of ak,i.e.,∑k≤ x akl(l = 2,3,...).We are able to improve the classical result of Chandrasekharan and Good.As an application we consider the number of solutions of polynomial congruences.

引用

页码：2417 / 2424

页数：8

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