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

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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]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 79811728
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Remarks on the Patterson-Selberg zeta function, black hole vacua and extremal CFT partition functions.
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  Data: <searchLink fieldCode="AR" term="%22Williams%2C+Floyd+L%2E%22">Williams, Floyd L.</searchLink><relatesTo>1</relatesTo><i> williams@math.umass.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physics+A%3A+Mathematical+%26+Theoretical%22">Journal of Physics A: Mathematical & Theoretical</searchLink>. 9/21/2012, Vol. 45 Issue 37, p1-19. 19p.
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  Data: <searchLink fieldCode="DE" term="%22Zeta+functions%22">Zeta functions</searchLink><br /><searchLink fieldCode="DE" term="%22Patterson+function%22">Patterson function</searchLink><br /><searchLink fieldCode="DE" term="%22Partition+functions%22">Partition functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Gravity%22">Gravity</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+cosmology%22">Quantum cosmology</searchLink><br /><searchLink fieldCode="DE" term="%22Black+holes%22">Black holes</searchLink><br /><searchLink fieldCode="DE" term="%22Holonomy+groups%22">Holonomy groups</searchLink>
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  Label: Abstract
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1088/1751-8113/45/37/374008
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      – Code: eng
        Text: English
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        PageCount: 19
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    Subjects:
      – SubjectFull: Zeta functions
        Type: general
      – SubjectFull: Patterson function
        Type: general
      – SubjectFull: Partition functions
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: Gravity
        Type: general
      – SubjectFull: Quantum cosmology
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      – SubjectFull: Black holes
        Type: general
      – SubjectFull: Holonomy groups
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      – TitleFull: Remarks on the Patterson-Selberg zeta function, black hole vacua and extremal CFT partition functions.
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              Text: 9/21/2012
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              Y: 2012
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