Modular case of Levinson's theorem
Volume 167 / 2015
Acta Arithmetica 167 (2015), 201-237
MSC: 11M26, 11M41.
DOI: 10.4064/aa167-3-1
Abstract
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.
