Some additive combinatorics problems in matrix rings

被引：0
|
作者：
Ron Ferguson
Corneliu Hoffman
Florian Luca
Alina Ostafe
Igor E. Shparlinski
机构：
[1] University of Vlora,Department of Mathematics
[2] University of Birmingham,School of Mathematics
[3] UNAM,Instituto de Matemáticas
[4] Universität Zürich,Institut für Mathematik
[5] Macquarie University,Department of Computing
来源：
Revista Matemática Complutense | 2010年 / 23卷
关键词：
Matrices; Finite fields; Additive combinatorics; 11C20; 11D79; 11T23;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite fields. We apply these results to estimate the largest prime divisor of the determinants in sumsets in matrix rings over the integers.
引用
收藏
页码：501 / 513
页数：12
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