Some additive combinatorics problems in matrix rings

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

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)501-513
Number of pages13
JournalRevista Matematica Complutense
Volume23
Issue number2
DOIs
Publication statusPublished - Jul 2010

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