On Bourgain's bound for short exponential sums and squarefree numbers
Acta Arithmetica, Tome 172 (2016) no. 2, pp. 99-116.

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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.
DOI : 10.4064/aa7896-12-2015
Keywords: bourgains recent bound short exponential sums prove certain independence results related distribution squarefree numbers arithmetic progressions

Ramon M. Nunes 1

1 Laboratoire de Mathématiques Université Paris Sud Campus d'Orsay 91405 Orsay Cedex, France
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Ramon M. Nunes. On Bourgain's bound for short exponential sums and squarefree numbers. Acta Arithmetica, Tome 172 (2016) no. 2, pp. 99-116. doi : 10.4064/aa7896-12-2015. http://geodesic.mathdoc.fr/articles/10.4064/aa7896-12-2015/

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