English

On a question of A. Balog

Combinatorics 2015-01-30 v1 Number Theory

Abstract

We give a partial answer to a conjecture of A. Balog, concerning the size of AA+A, where A is a finite subset of real numbers. Also, we prove several new results on the cardinality of A:A+A, AA+AA and A:A + A:A.

Keywords

Cite

@article{arxiv.1501.07498,
  title  = {On a question of A. Balog},
  author = {Ilya D. Shkredov},
  journal= {arXiv preprint arXiv:1501.07498},
  year   = {2015}
}

Comments

11 pages