Sum-product estimates in finite fields
Combinatorics
2007-05-23 v3 Classical Analysis and ODEs
Abstract
We prove, using combinatorics and Kloosterman sum technology that if , a finite field with elements, and , then \max \{|A+A|, |A \cdot A|\} \gtrsim \frac{{|A|}^{{3/2}}}{q^{{1/4}}.
Keywords
Cite
@article{arxiv.math/0609426,
title = {Sum-product estimates in finite fields},
author = {D. Hart and A. Iosevich and J. Solymosi},
journal= {arXiv preprint arXiv:math/0609426},
year = {2007}
}