Divisibility of exponential sums via elementary methods

被引：5

作者：

Castro, Francis N. ^{[2
]}

Randriam, Hugues ^{[3
]}

Rubio, Ivelisse ^{[1
]}

Mattson, H. F., Jr. ^{[4
]}

机构：

[1] Univ Puerto Rico, Dept Comp Sci, Rio Piedras, PR 00931 USA

[2] Univ Puerto Rico, Dept Math, Rio Piedras, PR 00931 USA

[3] TELECOM ParisTech, Paris, France

[4] Syracuse Univ, Syracuse, NY 13244 USA

来源：

JOURNAL OF NUMBER THEORY | 2010年 / 130卷 / 07期

关键词：

Exponential sums; Polynomial equations; Finite fields; FINITE-FIELDS; KATZ; THEOREM; AX; IMPROVEMENTS; POLYNOMIALS; PROOF;

D O I：

10.1016/j.jnt.2010.03.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an elementary method for evaluating the order of p-divisibility of exponential sums over a prime field. This method unifies and sometimes improves previously known results of Ax-Katz, Moreno-Moreno, Adolphson-Sperber, and Cao-Sun. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1520 / 1536

页数：17

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