Integral Moments of Automorphic L-functions

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dc.creatorDiaconu, Adrian
dc.creatorGarrett, Paul
dc.date2006-12-15
dc.date.accessioned2026-07-07T07:35:21Z
dc.date.available2026-07-07T07:35:21Z
dc.descriptionThis paper exposes the underlying mechanism for obtaining second integral moments of $GL_2$ automorphic $L$--functions over an arbitrary number field. Here, moments for $GL_2$ are presented in a form enabling application of the structure of adele groups and their representation theory. To the best of our knowledge, this is the first formulation of integral moments in adele-group-theoretic terms, distinguishing global and local issues, and allowing uniform application to number fields. When specialized to the field of rational numbers $\Bbb{Q}$, we recover the classical results.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/0612428
dc.identifierhttp://arxiv.org/abs/math/0612428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120064
dc.subjectNumber Theory
dc.subject11R42
dc.titleIntegral Moments of Automorphic L-functions
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