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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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
Atanassov, 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.