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arXiv:math/0509059 [math.NT]AbstractReferencesReviewsResources

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

Published 2005-09-02, updated 2006-03-18Version 3

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.

Comments: 16 pages, many figures
Categories: math.NT, math-ph, math.MP
Subjects: 11M41, 11G40, 15A52
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