On the number of solutions of some Kummer equations over finite fields

被引：0

作者：

Nicolae, Florin ^{[1
,2
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Romanian Acad, Inst Math, RO-014700 Bucharest, Romania

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2014年 / 29卷

关键词：

Finite field; Kummer equation; Jacobi sum;

D O I：

10.1016/j.ffa.2014.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let l be a prime number and let k = F-q be a finite field of characteristic p not equal l with q = p(f) elements. Let n >= 0. We determine the number N of solutions (x, y) in k of the Kummer equation y(l)= x(x(ln)-1), in terms of the trace of a certain Jacobi sum. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：151 / 159

页数：9

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