Critical zeros of Dirichlet L-functions

J. Brian Conrey; Henryk Iwaniec; Kannan Soundararajan

doi:10.1515/crelle-2012-0032

Published by De Gruyter August 3, 2013

Critical zeros of Dirichlet L-functions

J. Brian Conrey , Henryk Iwaniec and Kannan Soundararajan

From the journal Journal für die reine und angewandte Mathematik (Crelles Journal)

https://doi.org/10.1515/crelle-2012-0032

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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.

Received: 2011-05-04

Revised: 2012-01-31

Published Online: 2013-08-03

Published in Print: 2013-08-01

Critical zeros of Dirichlet L-functions

Abstract.

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