Zeta functions of finite Schreier graphs and their zig zag products

Asif Shaikh, Hemant Bhate

We investigate the Ihara zeta functions of finite Schreier graphs ${\Gamma }_n$ of the Basilica group. We show that ${\Gamma }_{1+n}$ is $2$ sheeted unramified normal covering of $Γ_n, ~\forall~ n…