On Bourgain's bound for short exponential sums and squarefree numbers
Ramon M. Nunes
Acta Arithmetica, Tome 172 (2016), p. 99-116 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:279128
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     author = {Ramon M. Nunes},
     title = {On Bourgain's bound for short exponential sums and squarefree numbers},
     journal = {Acta Arithmetica},
     volume = {172},
     year = {2016},
     pages = {99-116},
     zbl = {06545342},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa7896-12-2015}
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Ramon M. Nunes. On Bourgain's bound for short exponential sums and squarefree numbers. Acta Arithmetica, Tome 172 (2016) pp. 99-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa7896-12-2015/