Abstract
An explicit dimension formula for the vector space of Hermitian modular cusp forms of degree two with respect to the modular group Γ 2 ( Z [ i ] ) = SU ( 2 , 2 ) ∩ M 4 ( Z [ i ] ) {\Gamma _2}({\mathbf {Z}}[i]) = \operatorname {SU} (2,2) \cap {M_4}({\mathbf {Z}}[i]) is obtained via the Selberg trace formula and its arithmetic properties. Also, a generating function for the graded ring of Hermitian cusp forms of degree two is given.
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