Special Values of Selberg's Zeta-function**I would like to thank D. Bertrand, R. Phillips and H. Royden for their helpful insights and comments as well as Alvarez-Gaume', Moore, and Vafa, whose paper [1] motivated this paper.

1989 ◽  
pp. 457-465 ◽  
Author(s):  
P. SARNAK
Keyword(s):  
Zeta Function ◽  
Special Values ◽  
Selberg’S Zeta Function

A Zeta Function for the BTZ Black Hole

2003 ◽  
Vol 18 (12) ◽  
pp. 2205-2209 ◽  
Author(s):  
F. L. Williams
Keyword(s):  
Black Hole ◽  
Zeta Function ◽  
Three Dimensional ◽  
Thermodynamic Quantities ◽  
Btz Black Hole ◽  
Special Values

For the three-dimensional BTZ black hole we consider a Selberg type zeta function. We indicate how special values of its logarithm correspond to certain thermodynamic quantities associated with the black hole.

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