On essentially cuspidal noncongruence subgroups of PSL(2,\({\mathbb{Z}})\)

DOI10.1016/0022-1236(90)90064-RzbMath0699.10036MaRDI QIDQ912895

Alexei Venkov

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Fuchsian groupnumber of eigenvaluesautomorphic LaplacianWeyl's lawSarnak's conjectureessentially cuspidalgeneralized cycloidal subgroupnoncongruence subgroups

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Modular and automorphic functions (11F03) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

Relationship between the discrete and resonance spectrum for the Laplace operator on a noncompact hyperbolic Riemann surface

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• An extension of a theorem of Kurosh and applications to Fuchsian groups
• On the automorphic forms of a noncongruence subgroup
• Lectures on modular functions of one complex variable
• Über einen einfachen Typus von Untergruppen der Modulgruppe

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