Vanishing and NonVanishing Dirichlet Twists of LFunctions of Elliptic Curves
Abstract
Let L(E/Q,s) be the Lfunction of an elliptic curve E defined over the rational field Q. We examine the vanishing and nonvanishing of the central values L(E,1,\chi) of the twisted Lfunction as \chi ranges over Dirichlet characters of given order.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.1771
 Bibcode:
 2007arXiv0711.1771F
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry;
 11G40;
 11G05;
 14G28
 EPrint:
 To appear in Journal of the London Mathematical Society