Osaka Journal of Mathematics

On vector valued Siegel modular forms of degree 2 with small levels

Hiroki Aoki

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In this paper, we show that the space of vector valued Siegel modular forms of $\Gamma_{0} (N) \subset \mathrm{Sp}(2, \mathbb{Z})$ with respect to the symmetric tensor of degree $2$ has a simple unified structure for $N=2,3,4$. Each structure is similar to the structure of the full modular group.

Article information

Osaka J. Math., Volume 49, Number 3 (2012), 625-651.

First available in Project Euclid: 15 October 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11F46: Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
Secondary: 11F60: Hecke-Petersson operators, differential operators (several variables)


Aoki, Hiroki. On vector valued Siegel modular forms of degree 2 with small levels. Osaka J. Math. 49 (2012), no. 3, 625--651.

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