Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-27T23:53:04.444Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)