K.C. Rubin, Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Invent. Math. 89, 527-560, (1987). Home/Search Document Not in Database Summary Related Articles Check |
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Adjoint Motives Of Modular Forms And The Tamagawa Number.. - Diamond, Flach, Guo (Correct)
.... DIAMOND, MATTHIAS FLACH, AND LI GUO to a power of 2 for Dirichlet L functions (including the Riemann zeta function) at any integer ( Ma W] B K] H K] It is known up to an explicit set of bad primes for the L function of a CM elliptic curve at s = 1 if the order of vanishing is # 1 ( C W] [Ru1], Ko] There are also partial results for L functions of other modular forms at the central critical value ( G Z] Ko L] N] Z] and for values of certain Hecke L functions ( Hn] Gu2] Ki] Here we consider the adjoint L function of a modular form of weight k # 2 at s = 0 and 1. ....
K. Rubin, Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Invent. Math. 89 (1987), 527-560
Invariants des courbes de Frey-Hellegouarch et grands groupes de.. - Nitaj (1998) (1 citation) (Correct)
.... H 1 (Q; E) Gamma Y v H 1 (Q v ; E) o u v d ecrit l ensemble des places finies et 1 de Q (voir [30] pour une d efinition des groupes H 1 (Q; E) et H 1 (Q v ; E) Ce groupe est ab elien, et sa finitude pour toute courbe elliptique est encore conjecturale, mais, en 1987, Rubin [29] a donn e un exemple d une famille infinie de courbes elliptiques pour lesquelles X est fini. Ces courbes sont a multiplication complexe, et d efinies sur un corps quadratique imaginaire. En 1989, Kolyvagin [18] a montr e que X est fini pour toute courbe elliptique modulaire d efinie sur Q et de ....
K. Rubin, Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Invent. Math. 89 (1987), 527--560.
Refined Class Number Formulas for Derivatives of L-series - Darmon (1991) (Correct)
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K.C. Rubin, Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Invent. Math. 89, 527-560, (1987).
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