Convergence of zeta functions of graphs

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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.
8 pages, 1 figure

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Number Theory, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/59579

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007094
 http://arxiv.org/abs/math/0007094

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arXiv