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.

引用

页码：55 / 66

页数：12

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