Zeta functions for $G_2$ and their zeros

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dc.creatorSuzuki, Masatoshi
dc.creatorWeng, Lin
dc.date2008-02-01
dc.date2008-03-11
dc.date.accessioned2026-07-07T09:25:46Z
dc.date.available2026-07-07T09:25:46Z
dc.descriptionThe 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.
dc.description43 pages
dc.identifierhttps://arxiv.org/abs/0802.0104
dc.identifierhttp://arxiv.org/abs/0802.0104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156516
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject11M41, 11M42, 11E45, 14G10
dc.titleZeta functions for $G_2$ and their zeros
dc.typetext

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