Lower powers of elliptic units. (English) Zbl 1003.11026

Bettner, Stefan; Schertz, Reinhard

J. Théor. Nombres Bordx. 13, No. 2, 339-351 (2001).

The authors construct products of singular values of the Klein form and prove that these values are contained in ray class fields over imaginary quadratic fields. From the calculated examples one sees that in these cases the singular values generate the corresponding ray class field. The authors conjecture that this is always the case.

Reviewer: Jannis A.Antoniadis (Iraklion)

MSC:

11G16	Elliptic and modular units
11R27	Units and factorization
11Y40	Algebraic number theory computations
11R37	Class field theory

Keywords:

products of singular values; Klein form; ray class fields

References:

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