Hecke operators on period functions for the full modular group

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dc.creatorMühlenbruch, Tobias
dc.date2004-07-06
dc.date2005-02-11
dc.date.accessioned2026-07-07T05:09:59Z
dc.date.available2026-07-07T05:09:59Z
dc.descriptionMatrix representations of Hecke operators on classical holomorphical cusp forms and corresponding period polynomials are well known. In this article we define Hecke operators on period functions and show that they correspond to the Hecke operators on Maass cusp forms. Moreover we give an explicite general compatibility criterion for formal sums of matrices to represent Hecke operators ob period functions. An explicite example with only nonnegative entries in the matrices is constructed.
dc.descriptioncorrected Version, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0407081
dc.identifierhttp://arxiv.org/abs/math/0407081
dc.identifierIMRN2004, no. 77, 4127-4148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71788
dc.subjectNumber Theory
dc.subject11F25; 11F67
dc.titleHecke operators on period functions for the full modular group
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