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Grunewald, F.; Elstrodt, J.; Mennicke, J.

Some remarks on discrete subgroups of \(SL_ 2({\mathbb{C}})\). (English. Russian original) Zbl 0672.10019

J. Sov. Math. 46, No. 2, 1760-1788 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 162, 77-106 (1987).
See the review in Zbl 0629.10020.

Cited in 1 Review
Cited in 3 Documents

MSC:

11F27 Theta series; Weil representation; theta correspondences
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
22E40 Discrete subgroups of Lie groups
11F06 Structure of modular groups and generalizations; arithmetic groups
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
20H25 Other matrix groups over rings

Keywords:

first eigenvalue; Laplacian; discrete spectrum; fundamental; domains; discrete subgroups of \(SL_ 2({\mathbb{C}})\); rattlesnake; volume; Roelcke’s method; cocompact discrete groups; binary Hermitian; forms; Dirichlet series; integral equivalence; genus; explicit; formulas; number of representation of integers; Braun-Siegel; theorem; quaternary quadratic forms

Citations:

Zbl 0629.10020
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Full Text: DOI

References:

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