Some additive combinatorics problems in matrix rings

DOI10.1007/s13163-010-0029-4zbMath1208.11037arXiv0902.3482OpenAlexW1988426705MaRDI QIDQ1958673

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

Publication date: 4 October 2010

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3482

zbMATH Keywords

finite fieldsmatricesadditive combinatorics

Mathematics Subject Classification ID

Exponential sums (11T23) Congruences in many variables (11D79) Matrices, determinants in number theory (11C20)

Related Items (9)

Modular hyperbolas ⋮ Gauss sums over some matrix groups ⋮ Distribution of the determinants of sums of matrices ⋮ On a uniformly distributed phenomenon in matrix groups ⋮ Expanding phenomena over matrix rings ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition ⋮ Expanding phenomena over higher dimensional matrix rings ⋮ Joint distribution of inverses in matrix groups over finite fields ⋮ A sum-product theorem in matrix rings over finite fields

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