Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions
@article{Conrey2006SecondaryTI,
title={Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions},
author={J. Conrey and A. Pokharel and M. Rubinstein and M. Watkins},
journal={arXiv: Number Theory},
year={2006}
}We examine the number of vanishings of quadratic twists of the L-function associated to an elliptic curve. Applying a conjecture for the full asymptotics of the moments of critical L-values we obtain a conjecture for the first two terms in the ratio of the number of vanishings of twists sorted according to arithmetic progressions.
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