Some Additive Combinatorics Problems in Matrix Rings
Number Theory
2010-01-10 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.0902.3482,
title = {Some Additive Combinatorics Problems in Matrix Rings},
author = {Ron Ferguson and Corneliu Hoffman and Florian Luca and Alina Ostafe and Igor Shparlinski},
journal= {arXiv preprint arXiv:0902.3482},
year = {2010}
}