On the Smarandache Function Equation ∑_(d|n)S(d)=n+l

Let $S(n)$ be the Smarandache function, we solve Diophantine equation  $\sum_{d|n}S(d)=n+l$, $l\geq 0$ and $n\in \mathbb{N}$ in this paper.

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Publication Details

Journal
Journal of Mathematics Research
Published
2025-09-25
DOI
https://doi.org/10.5539/jmr.v17n3p19
Primary Topic
Advanced Mathematical Theories
Type
article
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article

On the Smarandache Function Equation ∑_(d|n)S(d)=n+l

Yuan Li, D. Lynch, Jayden I. Brown, D. Holman et al.
Journal of Mathematics Research
Advanced Mathematical Theories
article

On the Smarandache Function Equation ∑_(d|n)S(d)=n+l

Yuan Li, D. Lynch, Jayden I. Brown, D. Holman, Kyasia A. Avery, Melinda E. Combs, Alyssa M. Edgerton, Soniya M. Fountain, Meeya H. Johnson-Williams, Za’kiya M. Toomer-Sanders
article en

Abstract

Let $S(n)$ be the Smarandache function, we solve Diophantine equation  $\sum_{d|n}S(d)=n+l$, $l\geq 0$ and $n\in \mathbb{N}$ in this paper.

Journal of Mathematics ResearchVol. 17(3)
Openalex Percentile: Top 67%
Advanced Mathematical Theories
DOIOpen Access PDFOpenAlex
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On the Smarandache Function Equation ∑_(d|n)S(d)=n+l — Yuan Li, D. Lynch, et al. · Journal of Mathematics Research (2025) | TGRS Research Map | TGRS