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
收藏
页码：1520 / 1536
页数：17
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