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arXiv · 1508.05602

On Siegel invariants of certain CM-fields

Ja Kyung Koo·Gilles Robert·Dong Hwa Shin·Dong Sung Yoon
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Abstract

We first construct Siegel invariants of some CM-fields in terms of special values of theta constants, which would be a generalization of Siegel-Ramachandra invariants of imaginary quadratic fields. And, we further describe Galois actions on these invariants and provide some numerical examples to show that this invariant really generates the ray class field of a CM-field.

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Ja Kyung Koo, Gilles Robert, Dong Hwa Shin, Dong Sung Yoon. 2015-08-23. On Siegel invariants of certain CM-fields. https://arxiv.org/abs/1508.05602

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