On determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators

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dc.creatorKarpenkov, O.
dc.date2007-08-12
dc.date.accessioned2026-07-07T08:23:20Z
dc.date.available2026-07-07T08:23:20Z
dc.descriptionFor a given sequence of positive integers we make an explicit construction of a reduced hyperbolic operator in SL(2,z) with the sequence as a period of a geometric continued fraction in the sense of Klein. Further we experimentally study an algorithm to construct a period for an arbitrary operator of SL(2,z) (the Gauss Reduction Theory).
dc.identifierhttps://arxiv.org/abs/0708.1604
dc.identifierhttp://arxiv.org/abs/0708.1604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135959
dc.subjectNumber Theory
dc.subject11J70
dc.titleOn determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
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