Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group

DOI10.1090/S0002-9939-08-09516-6zbMath1157.11021arXivmath/0702030MaRDI QIDQ3533851

Joshua S. Friedman

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702030

zbMATH Keywords

Kleinian groupSelberg zeta functionautomorphic scattering matrixArtin factorization formula

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Artin formalism for Selberg zeta functions of co-finite Kleinian groups

Cites Work

• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• R-torsion and the Laplacian on Riemannian manifolds
• The Selberg trace formula and Selberg zeta-function for cofinite Kleinian groups with finite-dimensional unitary representations
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