Eta invariant and Selberg Zeta function of odd type over convex co-compact hyperbolic manifolds

Colin Guillarmou, Sergiu Moroianu, Jinsung Park

We show meromorphic extension and analyze the divisors of a Selberg zeta function of odd type $Z_{\Gamma ,\Sigma }^{\mathrm{o}}(\lambda )$ associated to the spinor bundle $\Sigma$ on odd dimensional convex co-…