Geodesic
Modular case of Levinson's theorem
Damien Bernard1
1Université 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

DOI

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 
Damien Bernard. Modular case of Levinson's theorem. Acta Arithmetica, Tome 167 (2015) no. 3, pp. 201-237. doi: 10.4064/aa167-3-1
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     title = {Modular case of {Levinson's} theorem},
     journal = {Acta Arithmetica},
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     volume = {167},
     number = {3},
     doi = {10.4064/aa167-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa167-3-1/}
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