Remarks on the Patterson-Selberg zeta function, black hole vacua and extremal CFT partition functions.

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Bibliographic Details
Title: Remarks on the Patterson-Selberg zeta function, black hole vacua and extremal CFT partition functions.
Authors: Williams, Floyd L.1 williams@math.umass.edu
Source: Journal of Physics A: Mathematical & Theoretical. 9/21/2012, Vol. 45 Issue 37, p1-19. 19p.
Subjects: Zeta functions, Patterson function, Partition functions, Mathematics, Gravity, Quantum cosmology, Black holes, Holonomy groups
Abstract: We consider some applications (old and new) of the Patterson-Selberg zeta function to 3D gravity with a negative cosmological constant.We also consider 2D black hole vacua with a parabolic generator of their holonomy. This article is part of a special issue of Journal of Physics A:Mathematical and Theoretical in honour of Stuart Dowker's 75th birthday devoted to 'Applications of zeta functions and other spectral functions in mathematics and physics'. [ABSTRACT FROM AUTHOR]
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Description
Abstract:We consider some applications (old and new) of the Patterson-Selberg zeta function to 3D gravity with a negative cosmological constant.We also consider 2D black hole vacua with a parabolic generator of their holonomy. This article is part of a special issue of Journal of Physics A:Mathematical and Theoretical in honour of Stuart Dowker's 75th birthday devoted to 'Applications of zeta functions and other spectral functions in mathematics and physics'. [ABSTRACT FROM AUTHOR]
ISSN:17518113
DOI:10.1088/1751-8113/45/37/374008