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

Gon, Yasuro; Park, Jinsung

Proc. Japan Acad., Ser. A 84, No. 1, 1-4 (2008).

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 \(s=0\).

MSC:

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)

Keywords:

Ruelle zeta function; Selberg zeta function

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