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Sum–product estimates for well‐conditioned matrices
Author(s) -
Solymosi J.,
Vu V.
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp054
Subject(s) - mathematics , product (mathematics) , set (abstract data type) , pure mathematics , combinatorics , geometry , computer science , programming language
We show that if is a finite set of d × d well‐conditioned matrices with complex entries, then the following sum–product estimate holds | + | × |·| = Ω (|| 5/2 ).
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