Hecke Operators for Maass Waveforms on PSL(2,Z) with Integer Weight and Eta Multiplier

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dc.creatorStrömberg, Fredrik
dc.date2006-11-06
dc.date.accessioned2026-07-07T07:32:34Z
dc.date.available2026-07-07T07:32:34Z
dc.descriptionWe construct Hecke operators acting on Maass waveforms of integer non-zero weight and transforming according to a non-trivial multiplier system on the modular group. Using these Hecke operators we obtain multiplicativity relations for the Fourier coefficients of such Maass waveforms. These relations generalize the usual weight zero relations. We also obtain an unexpected relation between coefficients with positive and negative indices with a constant of proportionality involving the Laplace eigenvalue. Numerical examples of multiplicativity relations are given at the end of the paper.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0611148
dc.identifierhttp://arxiv.org/abs/math/0611148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119160
dc.subjectNumber Theory
dc.subject11F25 (Primary); 11F03, 11F11 (Secondary)
dc.titleHecke Operators for Maass Waveforms on PSL(2,Z) with Integer Weight and Eta Multiplier
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