On certain equations and inequalities involving the arithmetical functions φ(n) and d(n) – II

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 29, 2023, Number 1, Pages 130–136
DOI: 10.7546/nntdm.2023.29.1.130-136
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Authors and affiliations

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

Abstract

In papers [3] and [5] we have studied certain equations and inequalities involving the arithmetical functions \varphi(n) and d(n). In this paper we will consider some other equations. Some open problems will be stated, too.

Keywords

  • Arithmetic functions
  • Equations
  • Inequalities

2020 Mathematics Subject Classification

  • 11A25

References

  1. Guy, R. K. (2004). Unsolved Problems in Number Theory (3rd ed.). Springer-Verlag.
  2. Sándor, J., Mitrinović, D. S., & Crstici, B. (2005). Handbook of Number Theory I. Springer.
  3. Sándor, J. (2020). On the equation on φ(n) + d(n) = n and related inequalities. Notes on Number Theory and Discrete Mathematics, 26(3), 1–4.
  4. Sándor, J., & Atanassov, K. T. (2021). Arithmetic Functions. Nova Science Publ., New York.
  5. Sándor, J., & Bhattacharjee, S. (2022). On certain equations and inequalities involving the arithmetical functions φ(n) and d(n). Notes on Number Theory and Discrete Mathematics, 28(2), 376–379.

Manuscript history

  • Received: 27 July 2022
  • Revised: 17 February 2023
  • Accepted: 2 March 2023
  • Online First: 7 March 2023

Copyright information

Ⓒ 2023 by the Author.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Cite this paper

Sándor, J. (2023). On certain equations and inequalities involving the arithmetical functions φ(n) and d(n) – II. Notes on Number Theory and Discrete Mathematics, 29(1), 130-136, DOI: 10.7546/nntdm.2023.29.1.130-136.

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