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$A_2$-continued fraction representation of real numbers and its geometry

We study the geometry of representations of numbers by continued fractions whose elements belong to the set $A_2 = {α_1, α_2}$ ($A_2$-continued fraction representation). It is shown that, for $α_1 α_2 ≤ 1/2$, every point of a certain segment admits an $A_2$-continued fraction representation. Moreove...

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Bibliographic Details
Date:	2009
Main Authors:	Dmytrenko, S. O., Kyurchev, D. V., Pratsiovytyi, M. V., Дмитренко, С. O., Кюрчев, Д. В., Працьовитий, М. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3033
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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