Ring class invariants over imaginary quadratic fields
Abstract
We show by adopting Schertz's argument with the Siegel-Ramachandra invariant that singular values of certain quotients of the $\Delta$-function generate ring class fields over imaginary quadratic fields.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2010
- DOI:
- arXiv:
- arXiv:1007.2309
- Bibcode:
- 2010arXiv1007.2309E
- Keywords:
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- Mathematics - Number Theory;
- Primary 11G16;
- Secondary 11F03;
- 11G15;
- 11R37