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Hecke operators for weakly holomorphic modular forms and supersingular congruences
Author(s):
P.
Guerzhoy
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3051-3059.
MSC (2000):
Primary 11F37, 11F33
Posted:
April 29, 2008
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Abstract:
We consider the action of Hecke operators on weakly holomorphic modular forms and a Hecke-equivariant duality between the spaces of holomorphic and weakly holomorphic cusp forms. As an application, we obtain congruences modulo supersingular primes, which connect Hecke eigenvalues and certain singular moduli.
References:
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Additional Information:
P.
Guerzhoy
Affiliation:
Department of Mathematics, University of Hawaii at Manoa, 2565 McCarthy Mall, Honolulu, Hawaii 96822-2273
Email:
pavel@math.hawaii.edu
DOI:
10.1090/S0002-9939-08-09277-0
PII:
S 0002-9939(08)09277-0
Received by editor(s):
April 23, 2007,
Received by editor(s) in revised form:
July 16, 2007
Posted:
April 29, 2008
Additional Notes:
This work is supported by NSF grant DMS-0700933
Communicated by:
Ken Ono
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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