ON THE JACOBI SUMS MODULO PN

被引：7
|
作者：
WANG, J [1 ]
机构：
[1] DALIAN UNIV TECHNOL,INST APPL MATH,DALIAN 116024,PEOPLES R CHINA
来源：
JOURNAL OF NUMBER THEORY | 1991年 / 39卷 / 01期
关键词：
D O I：
10.1016/0022-314X(91)90033-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the Jacobi sums over a ring of residues modulo a prime power and obtain the basic relationship between Gauss sums and Jacobi sums, which allows us to determine the absolute value of the Jacobi sums. As an application, we discuss the congruence x1p + ... + xrp ≡ 1 (mod p2), where p is an odd prime. © 1991.
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页码：50 / 64
页数：15
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