Real zeros of quadratic Dirichlet L-functions

Details Real zeros of quadratic Dirichlet L-functions Real zeros of quadratic Dirichlet L-functions

2001-11-01

arxiv.org/abs/math/0111013v1

Mathematics

Number Theory

38 pages

Scientific paper

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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