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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)

- Keiichi Gunji, Victor Isakov, +5 authors KEIICHI GUNJI
- 2006

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)

- Y. Nakanishi, Lumi Tatsuta, M. Ohnishi, A. Iguchi, Giichi Tomizawa, K. Gunji
- ICCE
- 2002

- Y. Nakanishi, Lumi Tatsuta, M. Ohnishi, Giichi Tomizawa, K. Gunji
- WebNet
- 1999

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