Stanisław 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.DS2022

Minimality of $B$ -free systems in number fields

Aurelia Dymek, Stanisław Kasjan, Joanna Kułaga-Przymus

Let $K$ be a finite extension of $Q$ and $O_{K}$ be its ring of integers. Let $B$ be a primitive collection of ideals in $O_{K}$ . We show that a…

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

On some classification problems of multiplicative functions

Minimality of B-free systems in number fields

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

Minimality of $B$ -free systems in number fields