Congruences for Eigenvalues of Hecke Operators on Siegel Modular Forms of Degree Two.
Shin-ichiro Mizumoto (1986)
Mathematische Annalen
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Our aim in this paper is to prove congruences between on the one hand certain eigenforms of level and weight greater than 2 and on the other hand twists of eigenforms of level and weight 2. One knows that such congruences exist; the novelty here is that we determine the character of the form of weight 2 and the twist in terms of the slope of the higher weight form, i.e., in terms of the valuation of its eigenvalue for . Curiously, we also find a relation between the leading terms...
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