The Differences Between Consecutive Smooth Numbers
Number Theory
2018-08-10 v1
Abstract
We show that large gaps between smooth numbers are infrequent. The key new tool is a novel mean value bound for a special type of Dirichlet polynomial.
Cite
@article{arxiv.1808.02947,
title = {The Differences Between Consecutive Smooth Numbers},
author = {D R Heath-Brown},
journal= {arXiv preprint arXiv:1808.02947},
year = {2018}
}
Comments
To appear in Acta Arithmetica