A dimension formula for Hermitian modular cusp forms of degree two

Eie, Min King

doi:10.1090/S0002-9947-1987-0871665-3

A dimension formula for Hermitian modular cusp forms of degree two
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by Min King Eie

Trans. Amer. Math. Soc. 300 (1987), 61-72

DOI: https://doi.org/10.1090/S0002-9947-1987-0871665-3

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Abstract:

An explicit dimension formula for the vector space of Hermitian modular cusp forms of degree two with respect to the modular group ${\Gamma _2}({\mathbf {Z}}[i]) = \operatorname {SU} (2,2) \cap {M_4}({\mathbf {Z}}[i])$ 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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