Zeta functions of graphs with \(\mathbb Z\) actions

DOI10.1016/j.jctb.2008.04.002zbMath1220.05056arXivmath/0607689OpenAlexW1988397271MaRDI QIDQ2519014

Bryan Clair

Publication date: 21 January 2009

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607689

zbMATH Keywords

functional equationIhara zeta functiongraph spectraperiodic graphdeterminant formulameromorphic extension

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other Dirichlet series and zeta functions (11M41) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items

Tree-lattice zeta functions and class numbers ⋮ Ihara Zeta Functions of Infinite Weighted Graphs ⋮ The Ihara zeta function of the infinite grid ⋮ Convergence of zeta functions for amenable group extensions of shifts ⋮ On The Length Spectra of Simple Regular Periodic Graphs ⋮ A generalized Ihara zeta function formula for simple graphs with bounded degree

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