Ланцюгові $A_3$-дроби: основи метричної теорії

We study a geometry of representation of numbers in terms of continued $A_3$-fractions, that is continued fractions, elements of which are acquire from a set $A_3\equiv\{s_0,s_1,s_2\}$, де $0<s_0<s_1<s_2, s_i\in\mathbb{R}$. We prove that if $s_0s_2=\frac{4}{3}$ and $...

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Bibliographic Details
Date:2017
Main Authors: Працьовитий, М.В., Чуйков, А.С., Кюрчев, Д.В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/408
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine