Tong's spectrum for Rosen continued fractions

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dc.creatorKraaikamp, Cor
dc.creatorSchmidt, Thomas A.
dc.creatorSmeets, Ionica
dc.date2007-08-23
dc.date.accessioned2026-07-07T08:25:21Z
dc.date.available2026-07-07T08:25:21Z
dc.descriptionThe Rosen fractions are an infinite set of continued fraction algorithms, each giving expansions of real numbers in terms of certain algebraic integers. For each, we give a best possible upper bound for the minimum in appropriate consecutive blocks of approximation coefficients (in the sense of Diophantine approximation by continued fraction convergents). We also obtain metrical results for large blocks of ``bad'' approximations.
dc.description22 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0708.3257
dc.identifierhttp://arxiv.org/abs/0708.3257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136624
dc.subjectNumber Theory
dc.subject11J70; 11K50
dc.titleTong's spectrum for Rosen continued fractions
dc.typetext

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