# The differences between consecutive smooth numbers

Heath-Brown, D

10 August 2018

Acta Arithmetica

## Last Updated:

2020-03-03T22:47:05.52+00:00

3

184

## DOI:

10.4064/aa170913-11-7

267-285

## 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.

867547

Submitted

Journal Article