Geodesic
On Bourgain's bound for short exponential sums and squarefree numbers
Ramon M. Nunes1
1 Laboratoire de Mathématiques Université Paris Sud Campus d'Orsay 91405 Orsay Cedex, France
Acta Arithmetica, Tome 172 (2016) no. 2, pp. 99-116

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@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},
     publisher = {mathdoc},
     volume = {172},
     number = {2},
     year = {2016},
     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
PB  - mathdoc
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  - 
%0 Journal Article
%A Ramon M. Nunes
%T On Bourgain's bound for short exponential sums and squarefree numbers
%J Acta Arithmetica
%D 2016
%P 99-116
%V 172
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa7896-12-2015/
%R 10.4064/aa7896-12-2015
%G en
%F 10_4064_aa7896_12_2015
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

Cité par Sources :