Some Additive Combinatorics Problems in Matrix Rings

Details Some Additive Combinatorics Problems in Matrix Rings Some Additive Combinatorics Problems in Matrix Rings

2009-02-19

arxiv.org/abs/0902.3482v2

Mathematics

Number Theory

Scientific paper

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.

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