On Siegel invariants of certain CM-fields

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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. We further describe Galois actions on these invariants and provide a numerical example to show that this invariant really generates the ray class field of a CM-field.
Publisher
Kluwer Academic Publishers
Issue Date
2021-02
Language
English
Article Type
Article
Citation

Ramanujan Journal, v.54, no.2, pp.261 - 284

ISSN
1382-4090
DOI
10.1007/s11139-019-00223-3
URI
http://hdl.handle.net/10203/281261
Appears in Collection
MA-Journal Papers(저널논문)
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