Generation of Hauptmoduln of Gamma(1)(N) by Weierstrass units and application to class fields

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We show that the modular function, integral(1,N) generate function fields of the modular curve X-1(N), N is an element of {7, 8, 9, 10, 12}, and apply them to construct ray class fields over imaginary quadratic fields.
Publisher
VERSITA
Issue Date
2011-12
Language
English
Article Type
Article
Keywords

MODULAR-CURVES; FAMILY

Citation

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, v.9, no.6, pp.1389 - 1402

ISSN
1895-1074
DOI
10.2478/s11533-011-0080-5
URI
http://hdl.handle.net/10203/95413
Appears in Collection
MA-Journal Papers(저널논문)
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