Williams, Floyd L. Remarks on the Patterson-Selberg zeta function, black hole vacua and extremal CFT partition functions. (English) Zbl 1251.83037 J. Phys. A, Math. Theor. 45, No. 37, Article ID 374008, 19 p. (2012). Summary: 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. Cited in 1 Document MSC: 83C57 Black holes 11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) 30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization) 35B34 Resonance in context of PDEs 81T20 Quantum field theory on curved space or space-time backgrounds 83C80 Analogues of general relativity in lower dimensions 53C29 Issues of holonomy in differential geometry PDFBibTeX XMLCite \textit{F. L. Williams}, J. Phys. A, Math. Theor. 45, No. 37, Article ID 374008, 19 p. (2012; Zbl 1251.83037) Full Text: DOI