Continued fractions and transcendental numbers

It is widely believed that the continued fraction expansion of every irrational algebraic number \(\alpha\) either is eventually periodic (and we know that this is the case if and only if \(\alpha\) is a quadratic irrational), or it contains arbitrarily large partial quotients. Apparently, this ques...

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Veröffentlicht in:	arXiv.org 2005-11
Hauptverfasser:	Adamczewski, Boris, Bugeaud, Yann, Davison, Les J L
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Quotients
Online-Zugang:	Volltext
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