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The aim of this paper is to give the dimension of the space of Siegel modular forms M k (Γ(3)) of degree 2, level 3 and weight k for each k. Our main result is Theorem dim M k (Γ(3)) = 1 2 (6k 3 − 27k 2 + 79k − 78) k ≥ 4. In other words we have the generating function : ∞ k=0 dim M k (Γ(3))t k = 1 + t + t 2 + 6t 3 + 6t 4 + t 5 + t 6 + t 7 (1 − t) 4. About(More)
In general, it is difficult to determine the dimension of the space of Siegel modular forms of low weights. In particular, the dimension of the space of cusp forms are known in only a few cases. In this paper, we calculate the dimension of the space of Siegel Eisenstein series of weight 1, which is a certain subspace of a complement of the space of cusp(More)
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