Some Additive Combinatorics Problems in Matrix Rings

نویسندگان

  • Ron Ferguson
  • Corneliu Hoffman
  • Alina Ostafe
  • Igor E. Shparlinski
چکیده

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. 2000 Mathematics Subject Classification. 11C20, 11D79, 11T23

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تاریخ انتشار 2009