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On sumsets of convex sets

Published 18 May 2011 in math.CO | (1105.3542v1)

Abstract: A set of reals A={a_1,...,a_2} is called convex if a_{i+1} - a_i > a_i - a_{i-1} for all i. We prove, in particular, that |A-A| \gg |A|{8/5} \log{-2/5} |A|.

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