On the nonvanishing of elliptic curve L-functions at the central point

Details On the nonvanishing of elliptic curve L-functions at the central point On the nonvanishing of elliptic curve L-functions at the central point

2004-12-22

arxiv.org/abs/math/0412464v3

Proc. London Math. Soc. (3) 93 (2006), no. 1, 1-42

Mathematics

Number Theory

38 pages. v3: Improved and expanded exposition, error corrections. To appear in the Proceedings of the London Mathematical Soc

Scientific paper

10.1017/S0024611506015760

We show that a large number of elliptic curve L-functions do not vanish at
the central point, conditionally on the generalized Riemann hypothesis and on a
hypothesis on the regular distribution of the root number.

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