Convergence of zeta functions of graphs

Details Convergence of zeta functions of graphs Convergence of zeta functions of graphs

2000-07-14

arxiv.org/abs/math/0007094v1

Mathematics

Number Theory

8 pages, 1 figure

Scientific paper

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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