The Rankin-Selberg method for automorphic distributions

dc.creatorMiller, Stephen D.
dc.creatorSchmid, Wilfried
dc.date2006-05-31
dc.date.accessioned2026-07-07T07:14:40Z
dc.date.available2026-07-07T07:14:40Z
dc.descriptionThis paper describes our method of pairing automorphic distributions. This represents a third technique for obtaining the analytic properties of automorphic L-functions, in addition to the existing methods of integral representations (Rankin-Selberg) and Fourier coefficients of Eisenstein series (Langlands-Shahidi). We recently used this technique to establish new cases of the full analytic continuation of the exterior square L-functions. The paper here gives an exposition of our method in two special, yet representative cases: the Rankin-Selberg tensor product L-functions for PGL(2,Z), as well as for the exterior square L-functions for GL (4,Z).
dc.description38 pages, to appear in "Representation Theory and Automorphic Forms", Procedings of an International Symposium at Seoul National University, February 2005, Toshiyuki Kobayashi, Wilfried Schmid, and Jae-Hyun Yang, editors, Birkhauser, Boston
dc.identifierhttps://arxiv.org/abs/math/0605783
dc.identifierhttp://arxiv.org/abs/math/0605783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112973
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.titleThe Rankin-Selberg method for automorphic distributions
dc.typetext

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