Convergence of zeta functions of graphs

Bryan Clair, Shahriar Mokhtari-Sharghi

Published 2000-07-14Version 1

The $L^2$-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 functions of the finite graphs converge to the $L^2$-zeta function of Y.