Publications Mathématiques de Besançon
Algèbre et Théorie des Nombres
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Christian Wuthrich
The sub-leading coefficient of the $L$-function of an elliptic curve
Publications mathématiques de Besançon (2016), p. 95-96
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Class. Math.: 11G40
Keywords: $L$-functions of elliptic curves, Birch-Swinnerton-Dyer conjecture

Abstract

We show that there is a relation between the leading term at $s=1$ of an $L$-function of an elliptic curve defined over an number field and the term that follows.

Bibliography

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[2] Pierre Colmez, “Périodes des variétés abéliennes à multiplication complexe”, Ann. of Math. (2) 138 (1993) no. 3, p. 625-683  MR 1247996 |  Zbl 0826.14028
[3] Dale Husemöller, Elliptic curves, Graduate Texts in Mathematics 111, Springer-Verlag, New York, 2004, With appendices by Otto Forster, Ruth Lawrence and Stefan Theisen  MR 2024529 |  Zbl 0605.14032

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