2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79057We show that the zeta function of a regular graph admits a representation as a quotient of a determinant over a $L^2$-determinant of the combinatorial Laplacian.LATEX, 11 pages, to appear in: Proc. Edinburgh Math. SocNumber TheoryCombinatorial $L^2$-determinantstext