Some new results on higher energies
Combinatorics
2013-01-01 v1
Abstract
In the paper we develop the method of higher energies. New upper bounds for the additive energies of convex sets, sets A with small |AA| and |A(A+1)| are obtained. We prove new structural results, including higher sumsets, and develop the notion of dual popular difference sets.
Keywords
Cite
@article{arxiv.1212.6414,
title = {Some new results on higher energies},
author = {Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1212.6414},
year = {2013}
}
Comments
38 pages