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
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.