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Determinant of Laplacian on a non-compact 3-dimensional hyperbolic manifold with finite volume

arXiv:hep-th/9608089 · doi:10.1088/0305-4470/30/10/028

Abstract

The functional determinant of Laplace-type operators on the 3-dimensional non-compact hyperbolic manifold with invariant fundamental domain of finite volume is computed by quadratures and making use of the related terms of the Selberg trace formula.

10 pages, LaTex. The contribution of hyperbolic elements has been added