An improvement to Chevalley's theorem with restricted variables

被引：1
|
作者：
Castro, Francis N. [1 ]
Gonzalez, Oscar E. [2 ]
Medina, Luis A. [1 ]
机构：
[1] Univ Puerto Rico, Dept Math, San Juan, PR 00925 USA
[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2019年 / 58卷
关键词：
Solvability of systems of polynomials; over finite fields; Chevalley's theorem; POLYNOMIALS;
D O I：
10.1016/j.ffa.2019.04.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently Schauz and Brink independently extended Chevalley's theorem to polynomials with restricted variables. In this note we give an improvement to Schauz-Brink's theorem via the ground field method. The improvement is significant in the cases where the degree of the polynomial is large compared to the weight of the degree of the polynomial. (C) 2019 Elsevier Inc. All rights reserved.
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页码：216 / 221
页数：6
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