On $\boldsymbol{\psi}$-amicable numbers and their generalizations

S. I. Dimitrov

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arXiv · 2508.02318

On $\boldsymbol{\psi}$-amicable numbers and their generalizations

S. I. Dimitrov

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Abstract

In this article, we study the properties of $\psi$-amicable numbers. We prove that their asymptotic density relative to the positive integers is zero. We also propose generalizations of $\psi$-amicable numbers.

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S. I. Dimitrov. 2025-08-04. On $\boldsymbol{\psi}$-amicable numbers and their generalizations. https://arxiv.org/abs/2508.02318

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