New results on sum-products in R
Combinatorics
2016-02-11 v1 Number Theory
Abstract
We improve a previous sum--products estimates in R, namely, we obtain that max{|A+A|,|AA|} \gg |A|^{4/3+c}, where c any number less than 5/9813. New lower bounds for sums of sets with small the product set are found. Also we prove some pure energy sum--products results, improving a result of Balog and Wooley, in particular.
Cite
@article{arxiv.1602.03473,
title = {New results on sum-products in R},
author = {Sergei Konyagin and Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1602.03473},
year = {2016}
}
Comments
18 pages