Resumen de Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy
We initiate the study of Selberg zeta functions ZΓ,χ for geometrically finite Fuchsian groups Γ and finite-dimensional representations χ with non-expanding cusp monodromy. We show that for all choices of (Γ,χ), the Selberg zeta function ZΓ,χ converges on some half-plane in C. In addition, under the assumption that Γ admits a strict transfer operator approach, we show that ZΓ,χ extends meromorphically to all of C.
