On sumsets of convex sets
Combinatorics
2011-05-19 v1
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|.
Keywords
Cite
@article{arxiv.1105.3542,
title = {On sumsets of convex sets},
author = {Tomasz Schoen and Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1105.3542},
year = {2011}
}
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6 pages