Generalized Analytic Automorphic Forms for some Arithmetic Congruence subgroups of the Vahlen group on the n-Dimensional Hyperbolic Space

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dc.creatorKrausshar, Rolf Soeren
dc.date2004-01-16
dc.date.accessioned2026-07-07T05:04:36Z
dc.date.available2026-07-07T05:04:36Z
dc.descriptionThis paper deals with a new analytic type of vector- and Clifford algebra valued automorphic forms in one and two vector variables. For hypercomplex generalizations of the classical modular group and their arithmetic congruence subgroups Eisenstein- and Poincaré type series that are annihilated by Dirac operators, and more generally, by iterated Dirac operators on the upper half-space of $R^n$ are discussed. In particular we introduce (poly-)monogenic modular forms on hypercomplex generalizations of the classical theta group.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0401197
dc.identifierhttp://arxiv.org/abs/math/0401197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69870
dc.subjectNumber Theory
dc.subjectComplex Variables
dc.subject11F03;30G35;11F55
dc.titleGeneralized Analytic Automorphic Forms for some Arithmetic Congruence subgroups of the Vahlen group on the n-Dimensional Hyperbolic Space
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