On multiplicative properties of combinatorial cubes

Abstract

We obtain a series of lower bounds for the product set of combinatorial cubes, as well as some non--trivial upper estimates for the multiplicative energy of such sets.

arXiv comment16 pages

References in corpus (2)

• On growth rate in $S{L}_2({\mathbf{F}}_p)$, the affine group and sum-product type implications
• On sums of Szemerédi--Trotter sets