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On ψ-amicable numbers and their generalizations

Year: 2025

Type: article

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.

Source: Notes on Number Theory and Discrete Mathematics

DOI: 10.7546/nntdm.2025.31.4.768-775

Author: Stoyan Dimitrov

Institutions: Bulgarian Academy of Sciences, Technical University of Sofia, Institute of Biophysics and Biomedical Engineering

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415835635

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