The strict Waring problem for polynomial rings

被引：11

作者：

Gallardo, Luis H. ^{[1
]}

Vaserstein, Leonid N. ^{[2
]}

机构：

[1] Univ Brest, Dept Math, F-29238 Brest 3, France

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 12期

关键词：

Waring's problem; Polynomial rings; Finite fields;

D O I：

10.1016/j.jnt.2008.07.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove among several results that under mild conditions any polynomial in F-q[t] is a strict sum of k(4) kth powers improving on an exponential (k(2)2(k+l)) bound of Car-Effinger-Hayes. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：2963 / 2972

页数：10

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