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Experimental Mathematics Volume 19, 2010 - Issue 2
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Original Article

Critical Values of Derivatives of Twisted Elliptic L-Functions

Jack Fearnley Department of Mathematics and Statistics and CICMA, Concordia University, 1455 de Maisonneuve Blvd. West, Montréal, Quebec, H3G 1M8, Canada
&
Hershy Kisilevsky Department of Mathematics and Statistics and CICMA, Concordia University, 1455 de Maisonneuve Blvd. West, Montréal, Quebec, H3G 1M8, Canada
Pages 149-160 | Published online: 30 Jan 2011
 
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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 special values of the derivatives L'(E, 1, χ) of twists by Dirichlet characters of L(E/ℚ, s) when L(E, 1, χ) = 0.

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