2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159032We will prove that Ruelle L-function for a cuspidal local system on an odd dimensional hyperbolic manifold with finite volume satisfies a functional equation and an analog of the Riemann hypothesis. We will also compute its Laurent expansion at the origin and will prove that the second coefficient coincides with a rational multiple of the volume up to a certain contribution from cusps. Moreover if the dimension is three we will identify the leading coefficient. Both of them will be intepreted by the Borel regulator in algebraic K-theory. Also a relation with the L^2-torsion will be discussed.50 pages, 0 figuresDifferential GeometryNumber Theory11M36;11G55;18F25;1pBxx;19Dxx;57Q10text