English

An upper bound on the multiplicative energy

Combinatorics 2008-06-23 v3

Abstract

We prove that the sumset or the productset of any finite set of real numbers, A,A, is at least A4/3ϵ,|A|^{4/3-\epsilon}, improving earlier bounds. Our main tool is a new upper bound on the multiplicative energy, E(A,A).E(A,A).

Keywords

Cite

@article{arxiv.0806.1040,
  title  = {An upper bound on the multiplicative energy},
  author = {Jozsef Solymosi},
  journal= {arXiv preprint arXiv:0806.1040},
  year   = {2008}
}
R2 v1 2026-06-21T10:47:57.602Z