2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166377The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing mainly on the case of periodic simple graphs. Moreover, we give a new proof of the associated determinant formula, based on the treatment developed by Stark and Terras for finite graphs.17 pages, 7 figures. V3: minor correctionsOperator AlgebrasCombinatoricsGroup TheoryNumber Theory05C25; 05C38; 46Lxx; 11M41text