On a certain class of modular functions
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- by Winfried Kohnen PDF
- Proc. Amer. Math. Soc. 133 (2005), 65-70 Request permission
Abstract:
We give a characterization of those meromorphic modular functions on a subgroup of finite index of the full modular group whose divisors are supported at the cusps, in terms of the growth of the exponents of their infinite product expansions.References
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Additional Information
- Winfried Kohnen
- Affiliation: Mathematisches Institut, Universität Heidelberg, INF 288, D-69120 Heidelberg, Germany
- Email: winfried@mathi.uni-heidelberg.de
- Received by editor(s): February 12, 2003
- Received by editor(s) in revised form: July 9, 2003, and October 27, 2003
- Published electronically: May 12, 2004
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 65-70
- MSC (2000): Primary 11F11
- DOI: https://doi.org/10.1090/S0002-9939-04-07450-7
- MathSciNet review: 2085154