Gauss sums over Quasi-Frobenius rings

被引：0

作者：

Langevin, P ^{[1
]}

Solé, P ^{[1
]}

机构：

[1] Univ Toulon & Var, Grp Etud Codage Toulon, F-83957 La Garde, France

来源：

FINITE FIELDS AND APPLICATIONS | 2001年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quasi-Frobenius (QF) rings comprise finite fields, Galois rings and enjoy remarkable character-theoretic properties. We define tao types of Gauss sums over QF rings : complete and incomplete. We compute the modulus of the former. We estimate the modulus of the latter from above and give an application to Gauss sums over Galois rings. We derive the analogue of Stickelberger theorem for Gauss sums indexed by the Teichmuller set.

引用

页码：329 / 340

页数：12

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