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Real zeros of quadratic Dirichlet L-functions

J. Brian Conrey·Kannan Soundararajan
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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.

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J. Brian Conrey, Kannan Soundararajan. 2001-11-01. Real zeros of quadratic Dirichlet L-functions. https://doi.org/10.1007/s00222-002-0227-x

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