Ruelle zeta function for cofinite hyperbolic Riemann surfaces with ramification points

DOI10.1007/s11005-019-01222-7zbMath1457.11070arXiv1901.07898OpenAlexW3099651075MaRDI QIDQ2300910

Lee-Peng Teo

Publication date: 28 February 2020

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07898

zbMATH Keywords

Selberg zeta functionhyperbolic surfacesRuelle zeta functiondeterminant of Laplaciancofinite Fuchsian groups

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

Super-zeta functions and regularized determinants associated with cofinite Fuchsian groups with finite-dimensional unitary representations ⋮ Determinant of Friedrichs Dirichlet Laplacians on 2-dimensional hyperbolic cones ⋮ Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities ⋮ Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces ⋮ Hyperbolic geometry and closed bosonic string field theory. II: The rules for evaluating the quantum BV master action

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