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The PUMP Journal of Undergraduate Research
Article . 2025 . Peer-reviewed
License: CC BY NC
Data sources: Crossref
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Some Equations Concerning the Sum of Divisors Function

descriptionPublicationkeyboard_double_arrow_right Article 18 Sep 2025Publisher:California State University, Office of the ChancellorJournal:The PUMP Journal of Undergraduate Research, volume 8, pages 374-380 (issn: 2765-8724, eissn: 2576-3725, Copyright policy )
Authors: Andreea Dima;

doi: 10.46787/pump.v8i.6178

Some Equations Concerning the Sum of Divisors Function

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
hybrid