Summation Formulas, from Poisson and Voronoi to the Present

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dc.creatorMiller, Stephen D.
dc.creatorSchmid, Wilfried
dc.date2003-04-15
dc.date.accessioned2026-07-07T04:56:52Z
dc.date.available2026-07-07T04:56:52Z
dc.descriptionWe give an overview of classical summation formulations, such as Poisson's and Voronoi's, and then turn to modern versions involving modular form coefficients. A new formula involving the coefficients of cusp forms on GL(3) is described, and its proof sketched, followed by applications to L-functions. The main method used is the boundary value distribution of automorphic forms.
dc.description22 pages, to appear in "Non-commutative harmonic analysis: In honor of Jacques Carmona."
dc.identifierhttps://arxiv.org/abs/math/0304187
dc.identifierhttp://arxiv.org/abs/math/0304187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67077
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.titleSummation Formulas, from Poisson and Voronoi to the Present
dc.typetext

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