An improved sum-product estimate over finite fields
Combinatorics
2011-06-07 v1
Abstract
This paper gives an improved sum-product estimate for subsets of a finite field whose order is not prime. It is shown, under certain conditions, that This new estimate matches, up to a logarithmic factor, the current best known bound obtained over prime fields by Rudnev (\cite{mishaSP}).
Cite
@article{arxiv.1106.1148,
title = {An improved sum-product estimate over finite fields},
author = {Liangpan Li and Oliver Roche-Newton},
journal= {arXiv preprint arXiv:1106.1148},
year = {2011}
}