Exponents of Diophantine Approximation and Sturmian Continued Fractions

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dc.creatorBugeaud, Yann
dc.creatorLaurent, Michel
dc.date2004-06-03
dc.date.accessioned2026-07-07T05:08:51Z
dc.date.available2026-07-07T05:08:51Z
dc.descriptionLet x be a real number and let n be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents w_n(x) and w_n^*(x) defined by Mahler and Koksma. We calculate their six values when n=2 and x is a real number whose continued fraction expansion coincides with some Sturmian sequence of positive integers, up to the initial terms. In particular, we obtain the exact exponent of approximation to such a continued fraction x by quadratic surds.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0406064
dc.identifierhttp://arxiv.org/abs/math/0406064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71427
dc.subjectNumber Theory
dc.subject11J13; 11J82
dc.titleExponents of Diophantine Approximation and Sturmian Continued Fractions
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