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There is a special relation between the spectrum and the {\it truncated} heat kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta function.
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A. A. Bytsenko, L. Vanzo, S. Zerbini, Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant
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1997
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1998
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P. Perry and F. Williams, Selberg zeta function and trace formula for the BTZ black hole
2003
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P. Perry, A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds
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2003
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L. Bonora and A. A. Bytsenko, Fluxes, Brane Charges and Chern Morphisms of Hyperbolic Geometry
2006
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A. A. Bytsenko, M. E. X. Guimaraes and F. L. Williams, Spectral Functions for BTZ Black Hole Geometry
2007
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S. J. Patterson and P. A. Perry, The deivisor of the Selberg zeta function for Kleinian groups, with an appendix by Charles Epstein
2001
Cited alongside, same era.
S. Giombi, A. Maloney and X. Yin, One-loop Partition Functions of 3D Gravity
Cited in the paper.