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arXiv · 0711.1771

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

Jack Fearnley·Hershy Kisilevsky·Masato Kuwata
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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,χ) of the twisted L-function as χranges over Dirichlet characters of given order.

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Jack Fearnley, Hershy Kisilevsky, Masato Kuwata. 2012-03-01. Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves. https://doi.org/10.1112/jlms%2Fjds018

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