Zeta Function Expression of Spin Partition Functions on Thermal AdS3

Floyd L.Williams
2015 Mathematics  
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.
doi:10.3390/math3030653 fatcat:e5qmz2v2rbff7mjek3gb5ucoaa