Multiplicative -quotients
Author:
Yves Martin
Journal:
Trans. Amer. Math. Soc. 348 (1996), 4825-4856
MSC (1991):
Primary 11F20; Secondary 11F22
DOI:
https://doi.org/10.1090/S0002-9947-96-01743-6
MathSciNet review:
1376550
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be the Dedekind
-function. In this work we exhibit all modular forms of integral weight
, for positive integers
and
and arbitrary integers
, such that both
and its image under the Fricke involution are eigenforms of all Hecke operators. We also relate most of these modular forms with the Conway group
via a generalized McKay-Thompson series.
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Additional Information
Yves Martin
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Email:
ymartin@math.berkeley.edu
DOI:
https://doi.org/10.1090/S0002-9947-96-01743-6
Received by editor(s):
November 22, 1994
Article copyright:
© Copyright 1996
American Mathematical Society