The action of Hecke operators on hypergeometric functions

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dc.creatorMoll, Victor H.
dc.creatorRobins, Sinai
dc.creatorSoodhalter, K.
dc.date2008-08-27
dc.date.accessioned2026-07-07T09:58:39Z
dc.date.available2026-07-07T09:58:39Z
dc.descriptionWe study the action of Hecke operators on the set of hypergeometric functions. We show that the spectrum of these operators is the set of powers n^a and that polylogarithms play a dominant role in the study of the corresponding eigenfunctions. As a corollary, we obtain a characterization of completely multiplicative hypergeometric coefficients.
dc.identifierhttps://arxiv.org/abs/0808.3615
dc.identifierhttp://arxiv.org/abs/0808.3615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167795
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11F25, 33C05
dc.titleThe action of Hecke operators on hypergeometric functions
dc.typetext

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