Geodesic
Modular case of Levinson's theorem
Damien Bernard1
1 Université Blaise Pascal Laboratoire de Mathématiques Campus des Cézeaux BP 80026 63171 Aubière Cedex, France
Acta Arithmetica, Tome 167 (2015) no. 3, pp. 201-237

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

We evaluate the integral mollified second moment of $L$-functions of primitive cusp forms and we obtain, for such $L$-functions, an explicit positive proportion of zeros which lie on the critical line.
DOI : 10.4064/aa167-3-1
Keywords: evaluate integral mollified second moment l functions primitive cusp forms obtain l functions explicit positive proportion zeros which lie critical line

Damien Bernard 1

1 Université Blaise Pascal Laboratoire de Mathématiques Campus des Cézeaux BP 80026 63171 Aubière Cedex, France 
@article{10_4064_aa167_3_1,
     author = {Damien Bernard},
     title = {Modular case of {Levinson's} theorem},
     journal = {Acta Arithmetica},
     pages = {201--237},
     publisher = {mathdoc},
     volume = {167},
     number = {3},
     year = {2015},
     doi = {10.4064/aa167-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa167-3-1/}
}
TY  - JOUR
AU  - Damien Bernard
TI  - Modular case of Levinson's theorem
JO  - Acta Arithmetica
PY  - 2015
SP  - 201
EP  - 237
VL  - 167
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa167-3-1/
DO  - 10.4064/aa167-3-1
LA  - en
ID  - 10_4064_aa167_3_1
ER  - 
%0 Journal Article
%A Damien Bernard
%T Modular case of Levinson's theorem
%J Acta Arithmetica
%D 2015
%P 201-237
%V 167
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa167-3-1/
%R 10.4064/aa167-3-1
%G en
%F 10_4064_aa167_3_1
Damien Bernard. Modular case of Levinson's theorem. Acta Arithmetica, Tome 167 (2015) no. 3, pp. 201-237. doi: 10.4064/aa167-3-1

Cité par Sources :