Short note on a new arithmetic function

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 1, Pages 94–96
DOI: 10.7546/nntdm.2018.24.1.94-96
Full paper (PDF, 136 Kb)

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

Abstract

A new arithmetic function is introduced. It is illustrated with some examples with well known arithmetic functions, as, e.g., π– and φ-functions.

Keywords

• Arithmetic functions φ, ψ and σ

2010 Mathematics Subject Classification

• 11A25

References

1. Atanassov, K. (2001) Remarks on φ, σ, ψ and ρ functions. Notes on Number Theory and Discrete Mathematics, 7, 1, 1–3.
2. Atanassov, K. (2009) A remark on an arithmetic function. Part 2. Notes on Number Theory and Discrete Mathematics, 15, 3, 21–22.
3. Mitrinovic, D., & Sándor, J. (1996) Handbook of Number Theory, Kluwer Academic Publishers.
4. Nagell, T. (1950) Introduction to Number Theory, John Wiley & Sons, New York.