Convergence of zeta functions of graphs

DOI10.1090/S0002-9939-02-06532-2zbMath1029.11047arXivmath/0007094MaRDI QIDQ2782613

Shahriar Mokhtari-Sharghi, Bryan Clair

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007094

zbMATH Keywords

zeta-functionfinite graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (10)

Bartholdi zeta and \(L\)-functions of weighted digraphs, their coverings and products ⋮ The Ihara zeta function of the infinite grid ⋮ Zeta functions from graphs ⋮ Convergence of zeta functions for amenable group extensions of shifts ⋮ The Ihara zeta function for infinite graphs ⋮ Ihara's zeta function for periodic graphs and its approximation in the amenable case ⋮ Zeta functions of infinite graph bundles ⋮ Limiting eigenvalue distribution of random matrices of Ihara zeta function of long-range percolation graphs ⋮ Zeta functions of graphs with \(\mathbb Z\) actions ⋮ A trace on fractal graphs and the Ihara zeta function

Cites Work

• Unnamed Item
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• On arithmetic infinite graphs
• Zeta functions of finite graphs and coverings. II
• Zeta functions of finite graphs and coverings
• Combinatorial L²-determinants
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• Zeta functions of discrete groups acting on trees

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