Relating invariant linear form and local epsilon factors via global methods

dc.creatorPrasad, Dipendra
dc.date2005-12-07
dc.date.accessioned2026-07-07T06:54:57Z
dc.date.available2026-07-07T06:54:57Z
dc.description{We use the recent proof of Jacquet's conjecture due to Harris and Kudla, and the Burger-Sarnak principle to give a proof about the relationship between the existence of trilinear forms on representations of $GL_2(k_u)$ for a non-Archimedean local field $k_u$ and local epsilon factors which was earlier proved only in the odd residue characteristic by this author. The same method gives a global proof of a theorem of Saito and Tunnell about characters of $GL_2$ using a theorem of Waldspurger about period integrals for $GL_2$ and also an extension of the theorem of Saito-Tunnell by this author which was earlier proved only in odd residue characteristic.}
dc.identifierhttps://arxiv.org/abs/math/0512151
dc.identifierhttp://arxiv.org/abs/math/0512151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106124
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.titleRelating invariant linear form and local epsilon factors via global methods
dc.typetext

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