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ON THE NON-VANISHING OF ELLIPTIC CURVE $L$-FUNCTIONS AT THE CENTRAL POINT

Published online by Cambridge University Press:  09 June 2006

MATTHEW P. YOUNG
MATTHEW P. YOUNG
Affiliation:
American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306-2244, [email protected]
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Abstract

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 an assumption on the regular distribution of the root number.

Keywords

11G0511G4011M41
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 93 , Issue 1 , July 2006 , pp. 1 - 42
Copyright
2006 London Mathematical Society

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Footnotes

This research was partially conducted during the period when the author was employed by the Clay Mathematics Institute as a Liftoff Fellow. This research was partially supported by an NSF Mathematical Sciences Post-Doctoral Fellowship.