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math.NT2007★ 22 cited
Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves
Jack Fearnley, Hershy Kisilevsky, Masato Kuwata
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-…
math.NT2004★ 8 cited
Vanishing of L-functions of elliptic curves over number fields
Chantal David, Jack Fearnley, Hershy Kisilevsky
Let be an elliptic curve over , with L-function . For any primitive Dirichlet character , let be the L-function of twisted by . In thi…