On Bourgain's bound for short exponential sums and squarefree numbers
Volume 172 / 2016
Acta Arithmetica 172 (2016), 99-116
MSC: Primary 11N37; Secondary 11L05.
DOI: 10.4064/aa7896-12-2015
Published online: 3 December 2015
Abstract
We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.