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Special values of L-functions and height two formal groups
Published online by Cambridge University Press: 24 October 2008
Extract
Let ψ be the Grossencharacter attached to an elliptic curve E defined over an imaginary quadratic field K ⊂ of discriminant −dK, and having complex multiplication by the maximal order of K. We denote the conductor of ψ by and fix a Weierstrass model for E with coefficients in ,
whose discriminant is divisible only by primes dividing 6. Let Kab be the abelian closure of K in and choose a fundamental period Ω ∈ for the above model of the curve.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 13 - 24
- Copyright
- Copyright © Cambridge Philosophical Society 1989
References
REFERENCES
[1]Coleman, R.. Division values in local fields. Invent. Math. 53 (1979), 91–161.CrossRefGoogle Scholar
[3]Katz, N. M.. Divisibilities, congruences, and Cartier duality. J. Fac. Sci. Univ. Tokyo (Sect. 1A Math.) 28 (1981), 667–678.Google Scholar
[5]Robert, G.. Nombres de Hurwitz et unités elliptiques. Thesis, Université de Paris-Sud (1977).Google Scholar
[6]Rubin, K.. Congruences for special values of L-functions of elliptic curves with complex multiplication. Invent. Math. 71 (1983), 339–354.CrossRefGoogle Scholar
[7]Yager, R. I.. p-adic measures on Galois groups. Invent. Math. 76 (1983), 331–343.CrossRefGoogle Scholar