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Zeta Function Expression of Spin Partition Functions on Thermal AdS3

Floyd L.Williams

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Source: Crossref

Published: Jul 28, 2015

DOI: 10.3390/math3030653

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Source abstract

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.

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Zeta Function Expression of Spin Partition Functions on Thermal AdS3 — Mathematical Frontier Network