2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156516The exceptional group $G_2$ has two maximal parabolic subgroups $P_{long}$, $P_{short}$ corresponding to the so-called long root and short root. In this paper, the second author introduces two zeta functions associated to $(G_2,P_{long})$ and $(G_2,P_{short})$ respectively, and the first author proves that these zetas satisfy the Riemann Hypothesis.43 pagesNumber TheoryRepresentation Theory11M41, 11M42, 11E45, 14G10text