Abstract
J.-P. Serre proved that the congruences for elliptic modular forms mod p m descend to those of weights mod p m−1(p−1). Later, this result was generalized by T. Ichikawa to the case of Siegel modular forms. In this note we use elementary methods to reduce Ichikawa’s result to a similar question about elliptic modular forms with level, where results of Katz are available.
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Communicated by U. Kühn.
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Böcherer, S., Nagaoka, S. Congruences for Siegel modular forms and their weights. Abh. Math. Semin. Univ. Hambg. 80, 227–231 (2010). https://doi.org/10.1007/s12188-010-0042-z
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DOI: https://doi.org/10.1007/s12188-010-0042-z