Krassimir T. Atanassov

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 23, 2017, Number 1, Pages 19—23

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## Details

### Authors and affiliations

Krassimir T. Atanassov

*Department of Bioinformatics and Mathematical Modelling
IBPhBME, Bulgarian Academy of Sciences
Acad. G. Bonchev Str. Bl. 105, Sofia-1113, Bulgaria
and
Intelligent Systems Laboratory
Prof. Asen Zlatarov University, Bourgas-8000, Bulgaria
*

### Abstract

A new arithmetic function is defined and some of its properties are studied.

### Keywords

- Arithmetic function
- Natural number
- Prime number

### AMS Classification

- 11A25

### References

- Atanassov, K. (1991) Inequalities for
*φ*and*σ*functions. I. Bulletin of Number Theory and Related Topics, XV(1–3), 12–14. - Atanassov, K. (1991) Inequalities for
*φ*and*σ*functions. II. Bulletin of Number Theory and Related Topics, XV(1–3), 15–18. - Atanassov, K. (1991) Inequalities for
*φ*and*σ*functions. III. Bulletin of Number Theory and Related Topics, XV(1–3), 19–20. - Atanassov, K. (1996) Inequalities for
*φ*and*ψ*functions (II), Octogon, 4(2), 18–20. - Atanassov, K. (2008) Inequalities related to
*φ*,*ψ*and σ functions (III), Number Theory and Discrete Mathematics, 14(1), 16–24. - Mitrinovic, D. & Sandor, J. (1996) Handbook of Number Theory, Kluwer Academic Publishers.
- Nagell, T. (1950) Introduction to Number Theory, John Wiley & Sons, New York.

## Related papers

## Cite this paper

APAAtanassov, K. T. (2017). Inequalities for *φ* and *ψ* functions (III). Notes on Number Theory and Discrete Mathematics, 23(1), 19-23.

Atanassov, Krassimir T. “Inequalities for *φ* and *ψ* Functions (III).” Notes on Number Theory and Discrete Mathematics 23, no. 1 (2017): 19-23.

Atanassov, Krassimir T. “Inequalities for *φ* and *ψ* Functions (III).” Notes on Number Theory and Discrete Mathematics 23.1 (2017): 19-23. Print.