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On Ramanujan congruences for modular forms of integral and half-integral weights |
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| Authors: | B. Datskovsky P. Guerzhoy |
| Affiliation: | Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122 ; Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel |
| Abstract: | In 1916 Ramanujan observed a remarkable congruence:  . The modern point of view is to interpret the Ramanujan congruence as a congruence between the Fourier coefficients of the unique normalized cusp form of weight  and the Eisenstein series of the same weight modulo the numerator of the Bernoulli number  . In this paper we give a simple proof of the Ramanujan congruence and its generalizations to forms of higher integral and half-integral weights. |
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