Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits

We study the relationship between the frequency of a ternary digit in a number and the asymptotic mean value of the digits. The conditions for the existence of the asymptotic mean of digits in a ternary number are established. We indicate an infinite everywhere dense set of numbers without frequency...

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Bibliographic Details
Date:2014
Main Authors: Klymchuk, S. O., Makarchuk, O. P., Pratsiovytyi, M. V., Климчук, С. О., Макарчук, О. П., Працьовитий, М. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2133
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal