2 papers
math.NT2026
Pseudometrics and preorders on sets of integer sequences induced by arithmetic functions functions
Mario Ziller
Starting from pseudometrics and preorders on sets of integers, we extend the focus to sets of finite sequences of integers, in particular sequences of consecutive integers. We outl…
math.NT2023
Orders and partitions of integers induced by arithmetic functions
Mario Ziller
We pursue the question how integers can be ordered or partitioned according to their divisibility properties. Based on pseudometrics on , we investigate induced preorde…