The definitions and main properties of the Ihara and Bartholdi zeta functions for infinite graphs are reviewed. The general question of the validity of a functional equation is discussed, and various possible solutions are proposed.

Guido, D., Isola, T. (2013). Zeta Functions for Infinite Graphs and Functional Equations. In Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II (pp. 123-146). American Mathematical Society [10.1090/conm/601/11914].

Zeta Functions for Infinite Graphs and Functional Equations

GUIDO, DANIELE;ISOLA, TOMMASO
2013-01-01

Abstract

The definitions and main properties of the Ihara and Bartholdi zeta functions for infinite graphs are reviewed. The general question of the validity of a functional equation is discussed, and various possible solutions are proposed.
2013
Settore MAT/05 - ANALISI MATEMATICA
English
Rilevanza internazionale
Capitolo o saggio
The authors were partially supported by GNAMPA, MIUR, the European Network ``Quantum Spaces - Noncommutative Geometry'' HPRN-CT-2002-00280, GDRE GREFI GENCO, and the ERC Advanced Grant 227458 OACFT
Guido, D., Isola, T. (2013). Zeta Functions for Infinite Graphs and Functional Equations. In Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II (pp. 123-146). American Mathematical Society [10.1090/conm/601/11914].
Guido, D; Isola, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90154
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