arXiv subjects

Damien Bernard

Publications and source records attributed to Damien Bernard.

2 recordsLinked to original sources

arXiv2014

Small first zeros of L-functions

From a family of L-functions with unitary symmetry, Hughes and Rudnick obtained results on the height of its lowest zero. We extend their results to other families of Lfunctions according to the type of symmetry coming from statistics for low-lying zeros.

math.NT↗

arXiv2014

Modular case of Levinson's theorem

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.

math.NT↗