A Slight Improvement to Garaev's Sum Product Estimate
Number Theory
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We slightly improve Garaev's recent sum-product estimate largely by using Plunneke's inequality a little more efficiently. We improve the exponent from 15/14 to 14/13.
Keywords
Cite
@article{arxiv.math/0703614,
title = {A Slight Improvement to Garaev's Sum Product Estimate},
author = {Nets Hawk Katz and Chun-Yen Shen},
journal= {arXiv preprint arXiv:math/0703614},
year = {2007}
}
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6 pages