2 papers
math.NT2026
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
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…
math.NT2006
Singular probability distributions and fractal properties of sets of real numbers defined by the asymptotic frequencies of their s-adic digits
S. Albeverio, M. Pratsiovytyi, G. Torbin
Properties of the set of "particularly non-normal numbers" of the unit interval are studied in details ( consists of real numbers , some of whose s-adic digits have t…