Additive and Multiplicative Structure in Matrix Spaces

DOI10.1017/S0963548306008145zbMath1154.15020MaRDI QIDQ5295410

Mei-Chu Chang

Publication date: 30 July 2007

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

zbMATH Keywords

sumsetproduct setreal matrix

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Additive bases, including sumsets (11B13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (12)

Approximate groups and doubling metrics ⋮ A sum-product estimate in algebraic division algebras ⋮ Expanders on matrices over a finite chain ring, I ⋮ Sum-product phenomena for planar hypercomplex numbers ⋮ An incidence theorem in higher dimensions ⋮ Some additive combinatorics problems in matrix rings ⋮ SUM-PRODUCT ESTIMATES FOR DIAGONAL MATRICES ⋮ Approximate subgroups of linear groups. ⋮ An application of kissing number in sum-product estimates ⋮ Discretized sum-product estimates in matrix algebras ⋮ Expanding phenomena over matrix rings ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition

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