József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 31, 2025, Number 1, Pages 69–72
DOI: 10.7546/nntdm.2025.31.1.69-72
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Authors and affiliations
József Sándor 
Department of Mathematics, Babeș-Bolyai University
Cluj-Napoca, Romania
Abstract
We offer an arithmetic proof of a result from the recent paper [1]. A more general result is provided, too.
Keywords
- Arithmetic functions
- Legendre’s theorem
- Inequalities for real functions
2020 Mathematics Subject Classification
- 11A25
- 11N37
- 26A06
- 26D15
References
- De Carli, L., Echezabal, A., & Laporta, M. (2024). Approximating the divisor functions. The Journal of Analysis, 32, 2503–2512.
- Grönwall, T. H. (1913). Some asymptotic expressions in the theory of numbers.
Transactions of the American Mathematical Society, 14, 113–122. - Hardy, G. H., & Wright, E. M. (1979). An Introduction to the Theory of Numbers (5th ed.). Oxford University Press, Oxford.
Manuscript history
- Received: 10 December 2024
- Accepted: 3 April 2025
- Online First: 5 April 2025
Copyright information
Ⓒ 2025 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. (2025). A note on the approximation of divisor functions. Notes on Number Theory and Discrete Mathematics, 31(1), 69-72, DOI: 10.7546/nntdm.2025.31.1.69-72.
