Determinant of the Laplacian on a non-compact three-dimensional hyperbolic manifold with finite volume

DOI10.1088/0305-4470/30/10/028zbMath0930.58018arXivhep-th/9608089OpenAlexW1983778784MaRDI QIDQ4245900

Andrei A. Bytsenko, Sergio Zerbini, Guido Cognola

Publication date: 16 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9608089

zbMATH Keywords

hyperbolic manifoldfinite volumeSelberg zeta functionfunctional determinantLaplace-type operators

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (5)

NONPLANAR CONTRIBUTION TO THE EFFECTIVE ACTION IN NONCOMMUTATIVE FLAT MANIFOLDS ⋮ ONE-LOOP EFFECTIVE POTENTIAL FOR SCALAR AND VECTOR FIELDS ON HIGHER-DIMENSIONAL NONCOMMUTATIVE FLAT MANIFOLDS ⋮ Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations ⋮ Spectral analysis and zeta determinant on the deformed spheres ⋮ Orbifold compactification and solutions of M-theory from milne spaces

This page was built for publication: Determinant of the Laplacian on a non-compact three-dimensional hyperbolic manifold with finite volume