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On a certain class of modular functions
Author(s):
Winfried
Kohnen
Journal:
Proc. Amer. Math. Soc.
133
(2005),
65-70.
MSC (2000):
Primary 11F11
Posted:
May 12, 2004
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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
DOI:
10.1090/S0002-9939-04-07450-7
PII:
S 0002-9939(04)07450-7
Received by editor(s):
February 12, 2003
Received by editor(s) in revised form:
July 9, 2003 and October 27, 2003
Posted:
May 12, 2004
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2004,
American Mathematical Society
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