Zeta functions for infinite graphs and functional equations
Operator Algebras
2022-04-25 v1 Combinatorics
Group Theory
Number Theory
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.
Cite
@article{arxiv.1303.1329,
title = {Zeta functions for infinite graphs and functional equations},
author = {Daniele Guido and Tommaso Isola},
journal= {arXiv preprint arXiv:1303.1329},
year = {2022}
}
Comments
23 pages, 3 figures. Accepted for publication in "Fractals in Applied Mathematics", Contemporary Mathematics, Editors Carfi, Lapidus, Pearse, van Frankenhuijsen