Periods, subconvexity of L-functions and representation theory

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dc.creatorBernstein, Joseph
dc.creatorReznikov, Andre
dc.date2005-04-20
dc.date.accessioned2026-07-07T05:19:16Z
dc.date.available2026-07-07T05:19:16Z
dc.descriptionWe describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on unitary representations of PGL(2,R).
dc.descriptionTo appear in J. of Diff. Geometry, Vol. 69 issue 2 in honor of Prof. Raoul Bott; 12 p
dc.identifierhttps://arxiv.org/abs/math/0504411
dc.identifierhttp://arxiv.org/abs/math/0504411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74961
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.subject11F67, 22E45, 11F70, 11M26
dc.titlePeriods, subconvexity of L-functions and representation theory
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