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

Abstract

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

27 pages, Latex, reportSFB288-1994

References in corpus (2)

• Theta and zeta functions for locally symmetric spaces of rank one
• A theta function for hyperbolic surfaces with cusps