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Centro de Ciencias Matemáticas UNAM

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Type: Article

A quantified version of Bourgain's sum-product estimate in F_p for subsets of incomparable sizes

Abstract:

Let F-p be the field of residue classes modulo a prime number p. In this paper we prove that if A, B subset of F-p(*) , then for any fixed epsilon > 0, |A|+|A|+|AB|>>(min{|B|, p/|A|})(1/25-epsilon)| A|. This quantifies Bourgain's recent sum-product estimate.
Keywords: PRIME-ORDER; FIELDS
MSC: 11B75 (11T23)
Journal: Electronic Journal of Combinatorics
ISSN: 1077-8926
Year: 2008
Volume: 15
Number: 1
Pages: Research p
Created Created: 2012-12-10 13:16:28
Modified Modified: 2013-09-03 14:12:02
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