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arXiv:math/0605288 [math.NT]AbstractReferencesReviewsResources

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

Joshua S. Friedman

Published 2006-05-11, updated 2007-03-22Version 2

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.

Comments: To appear in Communications in Mathematical Physics. This is a corrected version
Categories: math.NT, math.SP
Subjects: 11M36, 11F72
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