The Erdős–Szeméredi problem on sum set and product set
The Erdős–Szeméredi problem on sum set and product set
The basic theme of this paper is the fact that if A is a finite set of integers, then the sum and product sets cannot both be small.A precise formulation of this fact is Conjecture 1 below due to Erdős-Szemerédi [E-S].(see also [El], [T], and [K-T] for related aspects.)Only much …