Theta and zeta functions for odd-dimensional locally symmetric spaces of rank one

摘要

This paper is a continuation of our work on theta and zeta functions In theprevious papers we considered the case of even dimensional rank one symmetricspaces of non-compact type. The present is concerned with the odd-dimensionalcase, i.e. with odd-dimensional real hyperbolic manifolds. It is the naturalappearence of eta invariants in connection with super theta and zeta functionswhat makes this case particularly interesting. (authors name corrected)