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

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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.
16 pages, many figures

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Number Theory, Mathematical Physics, 11M41; 11G40; 15A52

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http://salesiana.dossiersoluciones.com/handle/123456789/102220

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509059
 http://arxiv.org/abs/math/0509059

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arXiv