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Convergence of zeta functions of graphs

Bryan Clair·Shahriar Mokhtari-Sharghi
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Abstract

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.

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Bryan Clair, Shahriar Mokhtari-Sharghi. 2000-07-14. Convergence of zeta functions of graphs. https://arxiv.org/abs/math/0007094

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