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

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

2010-04-28

arxiv.org/abs/1004.5062v1

Mathematics

Number Theory

33 pages

Scientific paper

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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