On Gauss sums over Dedekind domains

被引：1
|
作者：
Zheng, Zhiyong [1 ]
Chen, Man [1 ]
Xu, Jie [1 ]
机构：
[1] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2022年 / 18卷 / 05期
关键词：
Dedekind domains; Gauss sums; Davenport-Hasse formula; primitive additive character; separable Gauss sums;
D O I：
10.1142/S1793042122500543
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is a difficult question to generalize Gauss sums to a ring of algebraic integers of an arbitrary algebraic number field. In this paper, we define and discuss Gauss sums over a Dedekind domain of finite norm. In particular, we give a Davenport-Hasse type formula for some special Gauss sums. As an application, we give some more precise formulas for Gauss sums over the algebraic integer ring of an algebraic number field (see Theorems 4.1 and 4.2).
引用
收藏
页码：1047 / 1063
页数：17
相关论文
共 50 条
12345