Complex Valued Analytic Torsion and Dynamical Zeta Function on Locally Symmetric Spaces

Abstract We show that the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an arbitrary flat vector bundle has meromorphic extension to whole complex plane and its leading term in Laurent series at zero point is related regularised determinant of Laplacian Cappell–Miller. When close acyclic unitary one, we regular value equal valued analytic torsion This generalises author’s previous results for unitarily bundles as well Müller Spilioti’s hyperbolic manifolds.