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Contributions from Conjugacy Classes of Regular Elliptic Elements in Hermitian Modular Groups to the Dimension Formula of Hermitian Modular Cusp Forms

Contributions from Conjugacy Classes of Regular Elliptic Elements in Hermitian Modular Groups to the Dimension Formula of Hermitian Modular Cusp Forms

The dimension of the vector space of hermitian modular cusp forms on the hermitian upper half plane can be obtained from the Selberg trace formula; in this paper we shall compute the contributions from conjugacy classes of regular elliptic elements in hermitian modular groups by constructing an orthonomal basis in …