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Continuum cardinality of the set of solutions of one class of equations that contain the function of frequency of ternary digits of a number

We study the equation v1 (x) = x, where v1 (x) is the function of frequency of the digit 1 in ternary expansion of x. We prove that this equation has a unique rational solution and a continuum set of irrational solutions. An algorithm for the construction of solutions is proposed. We also describ...

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Bibliographic Details
Date:	2008
Main Authors:	Kotova, O. V., Котова, О. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3255
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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