Partition Functions of Three-Dimensional Quantum Gravity and the Black Hole Entropy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, no figures. Some misprints have been corrected, title changed. To appear in the J. Phys. A (2009)

Scientific paper

10.1088/1742-6596/161/1/012023

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.

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