On ψ-amicable numbers and their generalizations

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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Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2025-11-03
DOI
https://doi.org/10.7546/nntdm.2025.31.4.768-775
Primary Topic
Advanced Mathematical Theories
Type
article
Field-Weighted Citation Impact
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article

On ψ-amicable numbers and their generalizations

Stoyan Dimitrov
Notes on Number Theory and Discrete Mathematics
Advanced Mathematical Theories
article

On ψ-amicable numbers and their generalizations

Stoyan Dimitrov
article en

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.

Notes on Number Theory and Discrete MathematicsVol. 31(4)
Openalex Percentile: Top 61%
Advanced Mathematical Theories
DOIOpen Access PDFOpenAlex
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On ψ-amicable numbers and their generalizations — Stoyan Dimitrov · Notes on Number Theory and Discrete Mathematics (2025) | TGRS Research Map | TGRS