English

On multiplicative properties of combinatorial cubes

Combinatorics 2020-08-04 v1 Number Theory

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.

Keywords

Cite

@article{arxiv.2008.00764,
  title  = {On multiplicative properties of combinatorial cubes},
  author = {Ilya D. Shkredov},
  journal= {arXiv preprint arXiv:2008.00764},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-23T17:35:49.487Z