Real zeros of quadratic Dirichlet L-functions
Number Theory
2015-06-26 v1
Abstract
We show that for a positive proportion of real primitive Dirichlet characters chi, the associated Dirichlet L-function L(s,chi) has no zeros on the positive real axis. Prior to this it was not known whether or not there were infinitely many L-functions (from any family) with no positive real zeros.
Keywords
Cite
@article{arxiv.math/0111013,
title = {Real zeros of quadratic Dirichlet L-functions},
author = {J. Brian Conrey and Kannan Soundararajan},
journal= {arXiv preprint arXiv:math/0111013},
year = {2015}
}
Comments
38 pages