On some Fricke families and application to the Lang-Schertz conjecture

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We investigate two kinds of Fricke families, those consisting of Fricke functions and those consisting of Siegel functions. In terms of their special values we then generate ray class fields of imaginary quadratic fields over the Hilbert class fields, which are related to the Lang-Schertz conjecture.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2016-08
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v.146, no.4, pp.723 - 740

ISSN
0308-2105
DOI
10.1017/S0308210515000608
URI
http://hdl.handle.net/10203/214131
Appears in Collection
MA-Journal Papers(저널논문)
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