5 citations · 16 across the 7 of their papers we have counts for
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math.NT2023
One example of singular representations of real numbers from the unit interval
Symon Serbenyuk
In this article, for modelling numeral systems, the operator approach, which is introduced in [25], is generalized for a certain case. An example of such numeral systems is introdu…
math.NT2019
Modeling rational numbers by Cantor series
Symon Serbenyuk
In the present article, modeling certain rational numbers, that are represented in terms of Cantor series, are described. The statements on relations between digits in the represen…
math.NT2016
On some generalizations of real numbers representations
Symon Serbenyuk
The article is devoted to introduce and investigation of new numeral systems. These representations are generalizations of classical representations of real numbers. The main prope…