D ec 2 00 0 ON THE FREQUENCY OF VANISHING OF QUADRATIC TWISTS OF MODULAR L-FUNCTIONS

@inproceedings{Conrey2000DE2,
  title={D ec 2 00 0 ON THE FREQUENCY OF VANISHING OF QUADRATIC TWISTS OF MODULAR L-FUNCTIONS},
  author={J. Brian Conrey and J. P. Keating and Michael O. Rubinstein and Nina C. Snaith},
  year={2000}
}
In this paper we present some evidence that methods from random matrix theory can give insight into the frequency of vanishing for quadratic twists of modular L-functions. The central question is the following: given a holomorphic newform f with integral coefficients and associated L-function Lf (s), for how many fundamental discriminants d with |d| ≤ x, does Lf (s, χd), the L-function twisted by the real, primitive, Dirichlet character associated with the discriminant d, vanish at the center… CONTINUE READING
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