Hecke operators for weakly holomorphic modular forms and supersingular congruences
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- Proc. Amer. Math. Soc. 136 (2008), 3051-3059 Request permission
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
- Received by editor(s): April 23, 2007
- Received by editor(s) in revised form: July 16, 2007
- Published electronically: April 29, 2008
- Additional Notes: This work is supported by NSF grant DMS-0700933
- Communicated by: Ken Ono
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3051-3059
- MSC (2000): Primary 11F37, 11F33
- DOI: https://doi.org/10.1090/S0002-9939-08-09277-0
- MathSciNet review: 2407067