Exact divisibility of exponential sums and some consequences

被引：0
|
作者：
Castro, Francis N. [1 ]
Figueroa, Raul [1 ]
Medina, Luis A. [1 ]
机构：
[1] Univ Puerto Rico, Dept Math, San Juan, PR 00931 USA
来源：
THEORY AND APPLICATIONS OF FINITE FIELDS | 2012年 / 579卷
关键词：
p-divisibility of exponential sums; Waring Problem; Permutation Polynomials; WARINGS PROBLEM; FINITE-FIELDS; BOUNDS; POLYNOMIALS;
D O I：
10.1090/conm/579/11518
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we compute the exact divisibility of some exponential sums of polynomials over the prime field F-p. Our results imply that these families of polynomials are not permutation polynomials of F-p. Also, we apply our results to the polynomial Waring problem in finite fields.
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页码：55 / 66
页数：12
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