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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137563For 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.To Appear in the Proceedings of the American Math Society; Second edition: corrected some mistakesNumber TheorySpectral Theory11F72; 11M36Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian grouptext