Critical zeros of Dirichlet $L$-functions
Number Theory
2011-05-09 v1
Abstract
We use the Asymptotic Large Sieve and Levinson's method to obtain lower bounds for the proportion of simple zeros on the critical line of the twists by primitive Dirichlet characters of a fixed L-function of degree 1,2, or 3.
Keywords
Cite
@article{arxiv.1105.1177,
title = {Critical zeros of Dirichlet $L$-functions},
author = {Brian Conrey and Henryk Iwaniec and Kannan Soundararajan},
journal= {arXiv preprint arXiv:1105.1177},
year = {2011}
}