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Open AccessArticle

Zeta Function Expression of Spin Partition Functions on Thermal AdS3

Department of Mathematics, University of Massachusetts, Amherst, MA 01003, USA
Mathematics 2015, 3(3), 653-665; https://doi.org/10.3390/math3030653
Received: 12 May 2015 / Accepted: 16 July 2015 / Published: 28 July 2015
(This article belongs to the Special Issue Mathematical physics)
We find a Selberg zeta function expression of certain one-loop spin partition functions on three-dimensional thermal anti-de Sitter space. Of particular interest is the partition function of higher spin fermionic particles. We also set up, in the presence of spin, a Patterson-type formula involving the logarithmic derivative of zeta. View Full-Text
Keywords: thermal AdS; spin partition functions; Patterson–Selberg zeta function; fermionic particles; BTZ black hole thermal AdS; spin partition functions; Patterson–Selberg zeta function; fermionic particles; BTZ black hole
MDPI and ACS Style

L.Williams, F. Zeta Function Expression of Spin Partition Functions on Thermal AdS3. Mathematics 2015, 3, 653-665.

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