Real zeros of quadratic Dirichlet L-functions

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.

38 pages

References in corpus (1)

• Nonvanishing of quadratic Dirichlet L-functions at s=1/2

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