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arXiv · 1004.5062

An explicit dimension formula for Siegel cusp forms with respect to the non-split symplectic groups

Hidetaka Kitayama
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Abstract

The purpose of this paper is to give an explicit dimension formula for the spaces of vector valued Siegel cusp forms of degree two with respect to a certain kind of arithmetic subgroups of the non-split Q-forms of Sp(2,R). We obtain our result by using Hashimoto and Ibukiyama's results in [HI80],[HI83] and Wakatsuki's formula in [Wak]. Our result is a generalization of formulae in [Has84,Theorem 4.1] and [Wak,Theorem 6.1].

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BibTeXRIS

Hidetaka Kitayama. 2010-04-28. An explicit dimension formula for Siegel cusp forms with respect to the non-split symplectic groups. https://arxiv.org/abs/1004.5062

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