On additive doubling and energy
Combinatorics
2008-03-03 v1 Classical Analysis and ODEs
Abstract
We show that if A is a set having small subtractive doubling in an abelian group, that is |A-A|< K|A|, then there is a polynomially large subset B of A-A so that the additive energy of B is large than (1/K)^{1 - \epsilon) where epsilon is a positive, universal exponent. (1/37 seems to suffice.)
Keywords
Cite
@article{arxiv.0802.4371,
title = {On additive doubling and energy},
author = {Nets Hawk Katz and Paul Koester},
journal= {arXiv preprint arXiv:0802.4371},
year = {2008}
}
Comments
12 pages