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Title: Some additive combinatorics problems in matrix rings
Related: Revista matematica complutense, Vol. 23, No. 2 (2010), p.501-513
DOI: 10.1007/s13163-010-0029-4
Publisher: Springer
Date: 2010
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Ferguson, Ron
Author/Creator: Hoffman, Corneliu
Author/Creator: Luca, Florian
Author/Creator: Ostafe, Alina
Author/Creator: Shparlinski, Igor E
Description: 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.
Description: 13 page(s)
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: matrices
Subject Keyword: finite fields
Subject Keyword: additive combinatorics
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

Macquarie University ResearchOnline