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The purpose of this paper is to give an explicit dimension formula for thespaces of vector valued Siegel cusp forms of degree two with respect to acertain kind of arithmetic subgroups of the non-split Q-forms of Sp(2,R). Weobtain 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].

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