Premium
On the Non‐Vanishing of Elliptic Curve L ‐Functions at the Central Point
Author(s) -
Young Matthew P.
Publication year - 2006
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1017/s0024611506015760
Subject(s) - mathematics , elliptic curve , riemann hypothesis , point (geometry) , distribution (mathematics) , mathematical analysis , elliptic function , riemann surface , pure mathematics , geometry
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. 2000 Mathematics Subject Classification 11G05, 11G40, 11M41.