A special value of Ruelle L-function and the theorem of Cheeger and Muller

Abstract

We will show a theorem of a type of Cheeger and Muller for a noncompact complete hyperbolic threefold of finite vulume. As an application we will compute a special value of Ruelle L-function at the origin for a unitary local system which is cuspidal.

28 pages

References in corpus (1)

• An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume

Cited by in corpus (1)

• A product formula of Mumford forms, and the rationality of Ruelle zeta values for Schottky groups