On Siegel invariants of certain CM-fields

Autor: Dong Hwa Shin, Ja Kyung Koo, Gilles Robert, Dong Sung Yoon
Rok vydání: 2020
Předmět:
Zdroj: The Ramanujan Journal. 54:261-284
ISSN: 1572-9303
1382-4090
DOI: 10.1007/s11139-019-00223-3
Popis: 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.
Comment: 21 pages
Databáze: OpenAIRE