The Taylor expansion of Ruelle L-function at the origin and the Borel regulator

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dc.creatorSugiyama, Ken-ichi
dc.date2008-04-17
dc.date.accessioned2026-07-07T09:33:09Z
dc.date.available2026-07-07T09:33:09Z
dc.descriptionWe 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.
dc.description50 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/0804.2715
dc.identifierhttp://arxiv.org/abs/0804.2715
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159032
dc.subjectDifferential Geometry
dc.subjectNumber Theory
dc.subject11M36;11G55;18F25;1pBxx;19Dxx;57Q10
dc.titleThe Taylor expansion of Ruelle L-function at the origin and the Borel regulator
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