THE JACOBI SUMS OVER GALOIS RINGS AND ITS ABSOLUTE VALUES

被引：0
|
作者：
Jang, Young Ho [1 ]
机构：
[1] Inha Univ, Dept Math, Incheon 22212, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 03期
关键词：
Galois rings; characters; Gauss sums; Jacobi sums; GAUSS SUMS;
D O I：
10.4134/JKMS.j190211
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Galois ring R of characteristic p(n) having p(mn) elements is a finite extension of the ring of integers modulo p(n), where p is a prime number and n,m are positive integers. In this paper, we develop the concepts of Jacobi sums over R and under the assumption that the generating additive character of R is trivial on maximal ideal of R, we obtain the basic relationship between Gauss sums and Jacobi sums, which allows us to determine the absolute value of the Jacobi sums.
引用
收藏
页码：571 / 583
页数：13
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