scientific article

zbMath0629.10020MaRDI QIDQ3765851

Jürgen Elstrodt, Jens Mennicke, Fritz J. Grunewald

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

volumefirst eigenvalueLaplacianfundamental domainsrattlesnakeRoelcke's methoddiscrete subgroups of \(SL_ 2({bbfC})\)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other matrix groups over rings (20H25) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

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Generalized eigenfunctions and eigenvalues: A unifying framework for Shnol-type theorems ⋮ Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces

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