English

Small first zeros of L-functions

Number Theory 2014-04-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1404.6429,
  title  = {Small first zeros of L-functions},
  author = {Damien Bernard},
  journal= {arXiv preprint arXiv:1404.6429},
  year   = {2014}
}
R2 v1 2026-06-22T03:58:42.799Z