On sum sets of sets, having small product set
Combinatorics
2015-03-31 v3 Number Theory
Abstract
We improve a result of Solymosi on sum-products in R, namely, we prove that max{|A+A|,|AA|}\gg |A|^{4/3+c}, where c>0 is an absolute constant. New lower bounds for sums of sets with small product set are found. Previous results are improved effectively for sets A from R with |AA| \le |A|^{4/3}.
Cite
@article{arxiv.1503.05771,
title = {On sum sets of sets, having small product set},
author = {Sergei Konyagin and Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1503.05771},
year = {2015}
}
Comments
19 pages