English

Modular case of Levinson's theorem

Number Theory 2014-04-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1404.6432,
  title  = {Modular case of Levinson's theorem},
  author = {Damien Bernard},
  journal= {arXiv preprint arXiv:1404.6432},
  year   = {2014}
}
R2 v1 2026-06-22T03:58:43.213Z