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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-3-1,
author = {Damien Bernard},
title = {Modular case of Levinson's theorem},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {201-237},
zbl = {06414108},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-3-1}
}
Damien Bernard. Modular case of Levinson's theorem. Acta Arithmetica, Tome 168 (2015) pp. 201-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa167-3-1/