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

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

2005-09-02

arxiv.org/abs/math/0509059v3

Mathematics

Number Theory

16 pages, many figures

Scientific paper

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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