Eta Invariant and Selberg Zeta Function of Odd Type over Convex Co-compact Hyperbolic Manifolds

@inproceedings{GUILLARMOU2010EtaIA,
  title={Eta Invariant and Selberg Zeta Function of Odd Type over Convex Co-compact Hyperbolic Manifolds},
  author={COLIN GUILLARMOU and SERGIU MOROIANU},
  year={2010}
}
  • COLIN GUILLARMOU, SERGIU MOROIANU
  • Published 2010
We show meromorphic extension and give a complete description of the divisors of a Selberg zeta function of odd type Zo Γ,Σ(λ) associated to the spinor bundle Σ on an odd dimensional convex co-compact hyperbolic manifold Γ\H2n+1. As a byproduct we do a full analysis of the spectral and scattering theory of the Dirac operator on asymptotically hyperbolic… CONTINUE READING