Computation of Maass Waveforms with Non-trivial Multiplier Systems

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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.descriptionThe aim of this paper is to describe efficient algorithms for computing Maass waveforms on subgroups of the modular group PSL(2,Z) with general multiplier systems and real weight. A selection of numerical results obtained with these algorithms is also presented. Certain operators acting on the spaces of interest are also discussed. The specific phenomena that were investigated include the Shimura correspondence for Maass waveforms and the behavior of the weight-k Laplace spectra for the modular surface as the weight approaches 0.
dc.description39 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0611146
dc.identifierhttp://arxiv.org/abs/math/0611146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119159
dc.subjectNumber Theory
dc.subjectSpectral Theory
dc.subject11-04 (Primary) 411F72, 11F37 (Secondary)
dc.titleComputation of Maass Waveforms with Non-trivial Multiplier Systems
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