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.
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页码：151 / 159
页数：9
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