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Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations

Joshua S. Friedman
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Abstract

For cofinite Kleinian groups (or equivalently, finite-volume three-dimensional hyperbolic orbifolds) with finite-dimensional unitary representations, we evaluate the regularized determinant of the Laplacian using W. Muller's regularization. We give an explicit formula relating the determinant to the Selberg zeta-function.

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Joshua S. Friedman. 2007-03-22. Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations. https://doi.org/10.1007/s00220-007-0330-3

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