On Vandiver’s arithmetical function – II

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 28, 2022, Number 4, Pages 710–718
DOI: 10.7546/nntdm.2022.28.4.710-718
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Authors and affiliations

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

Abstract

We study more properties of Vandiver’s arithmetical function

    \[V(n) = \displaystyle \prod_{d\mid n} (d+1),\]

introduced in [2].

Keywords

  • Arithmetic function
  • Inequalities
  • Asymptotic results

2020 Mathematics Subject Classification

  • 11A25
  • 11A41
  • 11N37
  • 26D15

References

  1. Mitrinovic, D. S. (1970). Analytic Inequalities. Springer Verlag.
  2. Sándor, J. (2021). On Vandiver’s arithmetical function – I. Notes on Number Theory and Discrete Mathematics, 27(3), 29–38.
  3. Sándor, J., & Crstici, B. (2005). Handbook of Number Theory, II, Springer.
  4. Sándor, J., Mitrinovic, D. S., & Crstici, B. (2006). Handbook of Number Theory, I, Springer.

Manuscript history

  • Received: 25 March 2021
  • Revised: 15 October 2022
  • Accepted: 3 November 2022
  • Online First: 7 November 2022

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Cite this paper

Sándor, J. (2022). On Vandiver’s arithmetical function – II. Notes on Number Theory and Discrete Mathematics, 28(4), 710-718, DOI: 10.7546/nntdm.2022.28.4.710-718.

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