Convergence of zeta functions of graphs (Q2782613)
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scientific article; zbMATH DE number 1725306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of zeta functions of graphs |
scientific article; zbMATH DE number 1725306 |
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Convergence of zeta functions of graphs (English)
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8 April 2002
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zeta-function
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finite graph
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This paper contains three main results. Firstly, the \(L^2\)-zeta-function of a graph is continued analytically to a larger area than in a previous work of the authors [J. Algebra 237, 591--620 (2001; Zbl 1013.11057)]. Secondly, in a tower of coverings the normalized zeta-functions are shown to converge to the \(L^2\)-zeta-function, and thirdly, the usual zeta-function of a finite graph is a quotient of a classical and an \(L^2\)-determinant.
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