Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves

Details Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves

2007-11-12

arxiv.org/abs/0711.1771v3

Mathematics

Number Theory

To appear in Journal of the London Mathematical Society

Scientific paper

Let L(E/Q,s) be the L-function of an elliptic curve E defined over the
rational field Q. We examine the vanishing and non-vanishing of the central
values L(E,1,\chi) of the twisted L-function as \chi ranges over Dirichlet
characters of given order.

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