Ruelle zeta function for odd dimensional hyperbolic manifolds with cusps. (English) Zbl 1204.11147

Summary: We announce fundamental results of the Ruelle zeta function for odd dimensional hyperbolic manifolds with cusps; the meromorphic extension over \(\mathbb C\), its functional equation and the singularity at \(s=0\).


11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas)
11F72 Spectral theory; trace formulas (e.g., that of Selberg)
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