A note on the proof of a theorem of Katz

被引：14

作者：

Hou, XD ^{[1
]}

机构：

[1] Univ S Florida, Dept Math, Tampa, FL 33620 USA

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2005年 / 11卷 / 02期

关键词：

finite field; polynomial; p-adic;

D O I：

10.1016/j.ffa.2004.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f(i) is an element of F-q[X-1,...,X-n] be polynomials of degree d(i), 1 <= i <= r, where d(1) >=... >= d(r) >= 1. Denote the set of zeros of f(i) in F-q(n) by Z(f(i)). Katz proved that q(/d1)([n-d1-...-dr]) divides vertical bar Z(f(1)) boolean AND ... boolean AND Z(f(r))vertical bar. A more elementary proof of this result was given by Wan. We found a new and much simpler proof of this result. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：316 / 319

页数：4

共 6 条

[1] ZEROES OF POLYNOMIALS OVER FINITE FIELDS [J].