Modular case of Levinson's theorem

Damien Bernard (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

We evaluate the integral mollified second moment of L-functions of primitive cusp forms and we obtain, for such L-function, an explicit positive proportion of zeros which lie on the critical line.

Domaines: Théorie des nombres [math.NT]

Damien Bernard. Modular case of Levinson's theorem. 2014. ⟨hal-00980888⟩