Hilbert Modular Forms

Eberhard Freitag
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Eberhard Freitag: Universität Heidelberg, Mathematisches Institut

Chapter Chapter I in Hilbert Modular Forms, 1990, pp 5-71 from Springer

Abstract: Abstract A discrete subgroup Γ ⊂ SL, (2ℝ) acts discontinuously on the upper half-plane H. The parabolic elements of Γ give rise to a natural extension of H/Γ by the so-called cusp classes. We are mainly interested in the case where this extension is compact. Our basic example is Γ = SL(2, Z). The method of construction is such that it can easily be generalized to the case of several variables, i.e. discrete subgroups of SL(2, ℝ) n acting on the product of n upper half-planes. This will be done in the next section (§2).

Keywords: Holomorphic Function; Eisenstein Series; Cusp Form; Finite Index; Automorphic Form (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-3-662-02638-0_2

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