Geometric zeta functions of locally symmetric spaces

DOI10.1353/ajm.2000.0037zbMath0999.22015arXivdg-ga/9511006OpenAlexW2166979633MaRDI QIDQ4519530

Anton Deitmar

Publication date: 15 January 2003

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9511006

zbMATH Keywords

\(L\)-functionsLie algebra cohomologySelberg trace formulaSelberg zeta functionsRuelle zeta functioncompact locally symmetric spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Analysis on (p)-adic Lie groups (22E35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (7)

Class numbers of orders in complex quartic fields ⋮ Building lattices and zeta functions ⋮ Metrics with conic singularities and spherical polygons ⋮ A prime geodesic theorem for \(\mathrm{SL}_4\) ⋮ Class numbers of orders in cubic fields ⋮ A prime geodesic theorem for higher rank. II: Singular geodesics ⋮ A Pólya-Hilbert operator for automorphic \(L\)-functions

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