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Critical zeros of Dirichlet $L$-functions

By Brian Conrey, Henryk Iwaniec and Kannan Soundararajan

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

Topics: Mathematics - Number Theory, 11M26
Year: 2011
OAI identifier: oai:arXiv.org:1105.1177
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