On Bourgain's bound for short exponential sums and squarefree numbers
Acta Arithmetica, Tome 172 (2016) no. 2, pp. 99-116
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.
Keywords:
bourgains recent bound short exponential sums prove certain independence results related distribution squarefree numbers arithmetic progressions
Affiliations des auteurs :
Ramon M. Nunes  1
@article{10_4064_aa7896_12_2015,
author = {Ramon M. Nunes},
title = {On {Bourgain's} bound for short exponential sums and squarefree numbers},
journal = {Acta Arithmetica},
pages = {99--116},
year = {2016},
volume = {172},
number = {2},
doi = {10.4064/aa7896-12-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa7896-12-2015/}
}
TY - JOUR AU - Ramon M. Nunes TI - On Bourgain's bound for short exponential sums and squarefree numbers JO - Acta Arithmetica PY - 2016 SP - 99 EP - 116 VL - 172 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/aa7896-12-2015/ DO - 10.4064/aa7896-12-2015 LA - en ID - 10_4064_aa7896_12_2015 ER -
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
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