Existence of Ramanujan primes for GL(3)

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dc.creatorRamakrishnan, Dinakar
dc.date2002-09-12
dc.date2002-09-26
dc.date.accessioned2026-07-07T04:50:48Z
dc.date.available2026-07-07T04:50:48Z
dc.descriptionIn this Note we show that given any cusp form πon GL(3) over the rationals, there exist an infinite number of primes p which are Ramanujan for π, i.e., that the local components π_p are tempered for an infinite number of p. It turns out that the key structural device which is needed is the degree 8 adjoint L-function of π.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0209140
dc.identifierhttp://arxiv.org/abs/math/0209140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64923
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject11F70; 11R39
dc.titleExistence of Ramanujan primes for GL(3)
dc.typetext

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