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On Bourgain's bound for short exponential sums and squarefree numbers

Volume 172 / 2016

Ramon M. Nunes 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.

Authors

  • Ramon M. NunesLaboratoire de Mathématiques
    Université Paris Sud
    Campus d'Orsay
    91405 Orsay Cedex, France
    e-mail

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