A realization of the Hecke algebra on the space of period functions for Gamma_0(n)

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dc.creatorFraczek, M.
dc.creatorMayer, D.
dc.creatorMühlenbruch, T.
dc.date2005-12-15
dc.date2006-08-28
dc.date.accessioned2026-07-07T13:05:44Z
dc.date.available2026-07-07T13:05:44Z
dc.descriptionThe standard realization of the Hecke algebra on classical holomorphic cusp forms and the corresponding period polynomials is well known. In this article we consider a nonstandard realization of the Hecke algebra on Maass cusp forms for the Hecke congruence subgroups Gamma_0(n). We show that the vector valued period functions derived recently by Hilgert, Mayer and Movasati as special eigenfunctions of the transfer operator for Gamma_0(n) are indeed related to the Maass cusp forms for these groups. This leads also to a simple interpretation of the ``Hecke like'' operators of these authors in terms of the aforementioned non standard realization of the Hecke algebra on the space of vector valued period functions.
dc.description30 pages; corrected typos and fixed incomplete proofs in section 3
dc.identifierhttps://arxiv.org/abs/math/0512355
dc.identifierhttp://arxiv.org/abs/math/0512355
dc.identifierJ. Reine Angew. Math. 603 (2007), 133--163
dc.identifierdoi:10.1515/CRELLE.2007.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227585
dc.subjectNumber Theory
dc.subject11F25, 11F67 (Primary); 37C30, 37D20, 81Q50 (Secondary)
dc.titleA realization of the Hecke algebra on the space of period functions for Gamma_0(n)
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