2 papers
math.NT2000
Convergence of zeta functions of graphs
Bryan Clair, Shahriar Mokhtari-Sharghi
The -zeta function of an infinite graph Y (defined previously in a ball around zero) has an analytic extension. For a tower of finite graphs covered by Y, the normalized zeta…
math.GR1999
Zeta Functions Of Discrete Groups Acting On Trees
Bryan Clair, Shahriar Mokhtari-Sharghi
This paper generalizes Bass' work on zeta functions for uniform tree lattices. Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a dis…