On moments of non-normal number fields

被引：2

作者：

Chakraborty, Kalyan ^{[1
]}

Krishnamoorthy, Krishnarjun ^{[2
]}

机构：

[1] KCSTE, Kerala Sch Math, Kozhikode 673571, Kerala, India

[2] HBNI, Harish Chandra Res Inst, Chhatnag Rd, Jhunsi 211019, Prayagraj, India

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 238卷

关键词：

Artin L function; Non-normal fields; Moments; Dedekind zeta function; Finite group representations; DEDEKIND ZETA-FUNCTION;

D O I：

10.1016/j.jnt.2021.08.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a number field over Q and let a(K) (m) denote the number of integral ideals of K of norm equal to m is an element of N. In this paper we obtain asymptotic formulae for sums of the form Sigma(m <= X )a(K)(l)(m) thereby generalizing the previous works on the problem. Previously such asymptotics were known only in the case when K is Galois or when K was a non normal cubic extension and l = 2, 3. The present work subsumes both these cases. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：183 / 196

页数：14

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