On $\boldsymbol{\psi}$-amicable numbers and their generalizations
Number Theory
2025-11-06 v2
Abstract
In this article, we study the properties of -amicable numbers. We prove that their asymptotic density relative to the positive integers is zero. We also propose generalizations of -amicable numbers.
Keywords
Cite
@article{arxiv.2508.02318,
title = {On $\boldsymbol{\psi}$-amicable numbers and their generalizations},
author = {S. I. Dimitrov},
journal= {arXiv preprint arXiv:2508.02318},
year = {2025}
}