S. Kasjan

collaborators

3 papers

math.DS2025

A note on $B$ -free sets and the existence of natural density

Aurelia Dymek, Stanisław Kasjan, Joanna Kułaga-Przymus

Given $B \subseteq N$ , let $M_{B} = ⋃_{b \in B} b Z$ be the correspoding set of multiples. We say that $B$ is taut…

math.NT2025

On some classification problems of multiplicative functions

S. Kasjan, O. Klurman, M. Lemańczyk

We prove that a multiplicative function $f : N \to C$ is Toeplitz if and only if there are a Dirichlet character $χ$ and a finite subset $F$ of prime numbers such tha…

math.DS2025

Besicovitch covering numbers for $B$ -free and other shifts

Stanisław Kasjan, Gerhard Keller

For a finite alphabet $A$ define by $d_{1} (x, y) := lim sup_{n \to \infty} \frac{1}{2 n + 1} # {∣ i ∣ \leq n : x_{i} \neq = y_{i}}$ the Besicovitch pseudo-metric on $A^{Z}$ . It is well known tha…

A note on B-free sets and the existence of natural density

On some classification problems of multiplicative functions

Besicovitch covering numbers for B-free and other shifts

A note on $B$ -free sets and the existence of natural density

Besicovitch covering numbers for $B$ -free and other shifts