On Vandiver’s arithmetical function – I

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 3, Pages 29–38
DOI: 10.7546/nntdm.2021.27.3.29-38
Full paper (PDF, 218 Kb)

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Authors and affiliations

József Sándor
Department of Mathematics, Babeş-Bolyai University
Cluj-Napoca, Romania

Abstract

We study certain properties of Vandiver’s arithmetic function .

Keywords

• Arithmetic function
• Inequalities
• Generalized perfect numbers

2020 Mathematics Subject Classification

• 11A25
• 11A41
• 11N37
• 26D15

References

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3. Sándor, J. (2001). On multiplicatively perfect numbers. Journal of Inequalities in Pure and  Applied Mathematics, 2(1), Article No. 3, 6 pages.
4. Sándor, J., Mitrinovic, D. S., & Crstici, B. (2006). Handbook of Number Theory. Vol. 1. Springer.
5. Sándor, J., & Toth, L.(2008).On multiplicatively σ-perfect numbers. Octogon Mathematical  Magazine, 16(2), 906–908.
6. Vandiver, H. S. (1904). Problem 116. American Mathematical Monthly, 11, 38–39.