Matrix Waring problem

被引：5
|
作者：
Kishore, Krishna [1 ]
机构：
[1] Indian Inst Technol, Tirupati 517506, Andhra Pradesh, India
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2022年 / 646卷
关键词：
Waring problem; Lang-Weil estimate; Finite fields; SUMS;
D O I：
10.1016/j.laa.2022.03.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for all integers k >= 1, there exists a constant Ck depending only on k, such that for all q > C-k, and for n = 1, 2 every matrix in Mn(F-q) is a sum of two kth powers and for all n >= 3 every matrix in Mn(F-q) is a sum of at most three kth powers. (C) 2022 Elsevier Inc. All rights reserved.
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页码：84 / 94
页数：11
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