On the adjoint L-function of the p-adic GSp(4)

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dc.creatorAsgari, Mahdi
dc.creatorSchmidt, Ralf
dc.date2007-03-07
dc.date2007-10-11
dc.date.accessioned2026-07-07T08:35:36Z
dc.date.available2026-07-07T08:35:36Z
dc.descriptionWe explicitly compute the adjoint L-function of those L-packets of representations of the group GSp(4) over a p-adic field of characteristic zero that contain non-supercuspidal representations. As an application we verify a conjecture of Gross-Prasad and Rallis in this case. The conjecture states that the adjoint L-function has a pole at s=1 if and only if the L-packet contains a generic representation.
dc.descriptionsmall corrections and improvements; to appear in J. Number Theory
dc.identifierhttps://arxiv.org/abs/math/0703181
dc.identifierhttp://arxiv.org/abs/math/0703181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139799
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.titleOn the adjoint L-function of the p-adic GSp(4)
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