On the period of the continued fraction expansion of ${\sqrt {2^{2n+1}+1}}$

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dc.creatorBugeaud, Yann
dc.creatorLuca, Florian
dc.date2004-01-26
dc.date.accessioned2026-07-07T05:04:50Z
dc.date.available2026-07-07T05:04:50Z
dc.descriptionIn this paper, we prove that the period of the continued fraction expansion of ${\sqrt {2^{n}+1}}$ tends to infinity when $n$ tends to infinity through odd positive integers.
dc.identifierhttps://arxiv.org/abs/math/0401341
dc.identifierhttp://arxiv.org/abs/math/0401341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69962
dc.subjectNumber Theory
dc.subject11J70, 11J25
dc.titleOn the period of the continued fraction expansion of ${\sqrt {2^{2n+1}+1}}$
dc.typetext

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