Analytic torsion, dynamical zeta functions, and the Fried conjecture

Shu Shen
2018 Analysis & PDE  
We prove the equality of the analytic torsion and the value at zero of a Ruelle dynamical zeta function associated with an acyclic unitarily flat vector bundle on a closed locally symmetric reductive manifold. This solves a conjecture of Fried. This article should be read in conjunction with an earlier paper by Moscovici and Stanton.
doi:10.2140/apde.2018.11.1 fatcat:3d4rdkpgefgnznnyi2fsabiczy