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Hecke operators for weakly holomorphic modular forms and supersingular congruences |
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| Authors: | P Guerzhoy |
| Institution: | Department of Mathematics, University of Hawaii at Manoa, 2565 McCarthy Mall, Honolulu, Hawaii 96822-2273 |
| 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. |
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