Small first zeros of L-functions

Damien Bernard (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Domaines: Théorie des nombres [math.NT]

Damien Bernard. Small first zeros of L-functions. 2014. ⟨hal-00980887⟩