Some Equations Concerning the Sum of Divisors Function

In this article, I wiil consider four equations involving the sum of divisors function, σ, and I will prove that for the first two there are infinitely many solutions, while for the other two I will provide some particular solutions. I will also study some properties regarding two sequences of numbers.

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Publication Details

Journal
The PUMP Journal of Undergraduate Research
Published
2025-09-18
DOI
https://doi.org/10.46787/pump.v8i.6178
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

Some Equations Concerning the Sum of Divisors Function

Andreea Dima
The PUMP Journal of Undergraduate Research
Iterative Methods for Nonlinear Equations
article

Some Equations Concerning the Sum of Divisors Function

Andreea Dima
article en

Abstract

In this article, I wiil consider four equations involving the sum of divisors function, σ, and I will prove that for the first two there are infinitely many solutions, while for the other two I will provide some particular solutions. I will also study some properties regarding two sequences of numbers.

The PUMP Journal of Undergraduate ResearchVol. 8
Openalex Percentile: Top 63%
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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Some Equations Concerning the Sum of Divisors Function — Andreea Dima · The PUMP Journal of Undergraduate Research (2025) | TGRS Research Map | TGRS