On \boldsymbolψ-amicable numbers and their generalizations

2025/08/04 by S. I. Dimitrov, Dimitrov, S. I.
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.2508.02318

Abstract

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

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