Numeral systems with non-zero redundancy and their applications in the theory of locally complex functions

S. O. Vaskevych, Yu. Yu. Vovk, O. M. Pratsiovytyi

In this paper we study representations of real numbers in a numeral system with the base $a>1$ and alphabet (digits set) $A\equiv \{0,1,...,r\}$, $a-1<r\in N$ given by \[x=\sum\limi…