paper

On sumsets of convex sets

arXiv:1105.3542

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|.

6 pages

On sumsets of convex sets · wovepaper