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arXiv · 2603.04877

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

S. O. Klymchuk·O. P. Makarchuk·M. V. Pratsiovytyi
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Abstract

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 of digits but with the asymptotic mean of the digits.

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S. O. Klymchuk, O. P. Makarchuk, M. V. Pratsiovytyi. 2026-03-05. Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits. https://doi.org/10.1007/s11253-014-0934-7

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