Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group

Details Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group

2007-02-01

arxiv.org/abs/math/0702030v2

Mathematics

Number Theory

To Appear in the Proceedings of the American Math Society; Second edition: corrected some mistakes

Scientific paper

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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