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Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions

J. Brian Conrey·Atul Pokharel·Michael O. Rubinstein·Mark Watkins
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Abstract

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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J. Brian Conrey, Atul Pokharel, Michael O. Rubinstein, Mark Watkins. 2006-03-18. Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions. https://arxiv.org/abs/math/0509059

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