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arXiv:0902.3482 [math.NT]AbstractReferencesReviewsResources

Some Additive Combinatorics Problems in Matrix Rings

Ron Ferguson, Corneliu Hoffman, Florian Luca, Alina Ostafe, Igor Shparlinski

Published 2009-02-19, updated 2010-01-10Version 2

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.

Categories: math.NT, math.CO
Subjects: 11C20, 11D79, 11T06
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