Real zeros of quadratic Dirichlet L-functions

@article{Conrey2002RealZO,
  title={Real zeros of quadratic Dirichlet L-functions},
  author={J. Conrey and K. Soundararajan},
  journal={Inventiones mathematicae},
  year={2002},
  volume={150},
  pages={1-44}
}
  • J. Conrey, K. Soundararajan
  • Published 2002
  • Mathematics
  • Inventiones mathematicae
  • 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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