Partition Functions of Three-Dimensional Quantum Gravity and the Black Hole Entropy
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We analyze aspects of the holographic principle relevant to the quantum gravity partition functions in Euclidean sector of AdS$_3$. The sum of the known contributions to the partitions functions can be presented exactly, including corrections, in the form where the Patterson-Selberg zeta function involves.
8 pages, no figures. Some misprints have been corrected, title changed. To appear in the J. Phys. A (2009)
8 pages, no figures. Some misprints have been corrected, title changed. To appear in the J. Phys. A (2009)