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TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS

Published online by Cambridge University Press:  24 August 2004

YIFAN YANG
YIFAN YANG
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwanyfyang@math.nctu.edu.tw
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Abstract

Transformation formulas are obtained for generalized Dedekind eta functions; these are simpler to apply than Schoeneberg's formulas. As an application, a list is given of the generators of all the function fields associated with torsion-free genus zero congruence subgroups of $\hbox{PSL}_2(\mathbb R)$.

Keywords

11F20 (primary)20H05 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 5 , September 2004 , pp. 671 - 682
Copyright
© The London Mathematical Society 2004

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