An improved bound for the size of the set $A/A+A$

Abstract

It is established that for any finite set of positive real numbers $A$, we have $$|A/A+A|\gg \frac{|A{|}^{\frac{3}{2}+\frac{1}{26}}}{{\log }^{1/2}|A|}.$$

arXiv commentThis paper was completed over a year ago but not submitted to arxiv at the time. A published version can be found in the Proceedings of SoCG 2018. arXiv admin note: substantial text overlap with arXiv:1801.10431