On the nonvanishing of elliptic curve L-functions at the central point
Number Theory
2012-03-21 v3
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 a hypothesis on the regular distribution of the root number.
Keywords
Cite
@article{arxiv.math/0412464,
title = {On the nonvanishing of elliptic curve L-functions at the central point},
author = {Matthew P. Young},
journal= {arXiv preprint arXiv:math/0412464},
year = {2012}
}
Comments
38 pages. v3: Improved and expanded exposition, error corrections. To appear in the Proceedings of the London Mathematical Society