József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 26, 2020, Number 3, Pages 1–4
DOI: 10.7546/nntdm.2020.26.3.1-4
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Authors and affiliations
József Sándor 
Department of Mathematics, Babes-Bolyai University
Cluj-Napoca, Romania
Abstract
We study the equation φ(n) + d(n) = n, and prove related new inequalities.
Keywords
- Arithmetic function
- Inequality
2010 Mathematics Subject Classification
- 11A25
References
- Sándor, J., Mitrinovic, D., & Crstici, B. (2005). Handbook of Number Theory, Vol. I, Springer.
- Sándor, J., & Kovács, L. (2008). A note on the arithmetical functions d(n) and σ(n). Octagon Math. Mag., 16 (1), 270–274.
- Sándor, J. (2010). Two arithmetic inequalities. Advanced Studied Contemporary Mathematics, 20 (2), 197–202.
- Sándor, J. (2014). On certain inequalities for σ, φ, ψ and related functions. Notes on Number Theory and Discrete Mathematics, 20 (2), 52–60.
- Sándor, J.(1989). Some diophantine equations for particular arithmetic functions. Seminarul de Teoria Stucturilor, 53, 1–10 (in Romanian).
Related papers
- Sándor, J. (2014). On certain inequalities for σ, φ, ψ and related functions. Notes on Number Theory and Discrete Mathematics, 20 (2), 52–60.
- 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.
- 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.
Cite this paper
Sándor, J. (2020). On the equation φ(n) + d(n) = n and related inequalities. Notes on Number Theory and Discrete Mathematics, 26 (3), 1-4, DOI: 10.7546/nntdm.2020.26.3.1-4.
