Analogues of the Artin Factorization Formula for the Automorphic Scattering Matrix and Selberg Zeta-function Associated to a Kleinian Group

نویسنده

  • JOSHUA S. FRIEDMAN
چکیده

For Kleinian groups acting on hyperbolic three-space, we prove factorization formulas for both the Selberg zeta-function and the automorphic scattering matrix. We extend results of Venkov and Zograf from Fuchsian groups, to Kleinian groups, and we give a proof that is simple and extendable to more general groups.

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تاریخ انتشار 2007