Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves
Abstract
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,) of the twisted L-function as ranges over Dirichlet characters of given order.
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