Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows

Malo Jézéquel, Jonathan Zung

To a transitive pseudo-Anosov flow $\phi$ on a $3$-manifold $M$ and a representation $\rho$ of ${\pi }_1(M)$, we associate a zeta function ${\zeta }_{\phi ,\rho }(s)$ defined for $\Re s\gg 1$, generalizing…