Krassimir T. Atanassov and József Sándor

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 24, 2018, Number 4, Pages 3—10

DOI: 10.7546/nntdm.2018.24.4.3-10

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## Details

### Authors and affiliations

Krassimir T. Atanassov

*Department of Bioinformatics and Mathematical Modelling
Institute of Biophysics and Biomedical Engineering – Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria*

József Sándor

*Department of Mathematics, Babeș–Bolyai University
Str. Kogalniceanu 1, 400084 Cluj-Napoca, Romania*

### Abstract

A new arithmetic function is introduced and its basic properties are studied. Some inequalities between the new and some other arithmetic functions are formulated and proved.

### Keywords

- Arithmetic function
- Inequality

### 2010 Mathematics Subject Classification

- 11A25

### References

- Atanassov, K. (1987) New integer functions, related to “
*φ*” and “*σ*” functions. Bulletin of Number Theory and Related Topics, XI (1), 3–26. - Atanassov, K. (1996) A generalization of an arithmetical function, Notes on Number Theory and Discrete Mathematics, 2 (4), 32–33.
- Atanassov, K. (2002) Restrictive factor: Definition, properties and problems. Notes on Number Theory and Discrete Mathematics, 8 (4), 117–119.
- Atanassov, K. (2004) On an arithmetic function. Advanced Studies on Contemporary Mathematics, 8 (2), 177–182.
- Mitrinovic, D., & Sándor, J. (1996) Handbook of Number Theory, Kluwer Academic Publishers.
- Panaitopol, L. (2004) Properties of the Atanassov functions. Advanced Studies on Contemporary Mathematics, 8 (1), 55–59.
- Nagell, T. (1950) Introduction to Number Theory, John Wiley & Sons, New York.

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## Cite this paper

APAAtanassov, K. T., & Sándor, J. (2018). On a new arithmetic function. *Notes on Number Theory and Discrete Mathematics*, 24(4), 3-10, doi: 10.7546/nntdm.2018.24.4.3-10.

Atanassov, Krassimir T. and József Sándor. “On a New Arithmetic Function.” Notes on Number Theory and Discrete Mathematics 24, no. 4 (2018): 3-10, doi: 10.7546/nntdm.2018.24.4.3-10.

MLAAtanassov, Krassimir T. and József Sándor. “On a New Arithmetic Function.” Notes on Number Theory and Discrete Mathematics 24.4 (2018): 3-10. Print, doi: 10.7546/nntdm.2018.24.4.3-10.