The differences between consecutive smooth numbers
Volume 184 / 2018
Acta Arithmetica 184 (2018), 267-285
MSC: Primary 11N25; Secondary 11N36.
DOI: 10.4064/aa170913-11-7
Published online: 10 August 2018
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.
