%0 Journal Article
%T An upper bound on the multiplicative energy
%A Jozsef Solymosi
%J Mathematics
%D 2008
%I arXiv
%X We prove that the sumset or the productset of any finite set of real numbers, $A,$ is at least $|A|^{4/3-\epsilon},$ improving earlier bounds. Our main tool is a new upper bound on the multiplicative energy, $E(A,A).$
%U http://arxiv.org/abs/0806.1040v3