Sums and Products with Smooth Numbers
Number Theory
2010-10-19 v1 Combinatorics
Abstract
We estimate the sizes of the sumset A + A and the productset A A in the special case that A = S (x, y), the set of positive integers n less than or equal to x, free of prime factors exceeding y.
Cite
@article{arxiv.1010.3322,
title = {Sums and Products with Smooth Numbers},
author = {William D. Banks and David Covert},
journal= {arXiv preprint arXiv:1010.3322},
year = {2010}
}
Comments
12 pages