Normal bases of ray class fields over imaginary quadratic fields

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We develop a criterion for a normal basis (Theorem 2.4), and prove that the singular values of certain Siegel functions form normal bases of ray class fields over imaginary quadratic fields other than Q(root-1) and Q(root-3) (Theorem 4.2). This result would be an answer for the Lang-Schertz conjecture on a ray class field with modulus generated by an integer (>= 2) (Remark 4.3).
Publisher
SPRINGER
Issue Date
2012-06
Language
English
Article Type
Article
Citation

MATHEMATISCHE ZEITSCHRIFT, v.271, no.1-2, pp.109 - 116

ISSN
0025-5874
DOI
10.1007/s00209-011-0854-2
URI
http://hdl.handle.net/10203/102239
Appears in Collection
MA-Journal Papers(저널논문)
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