An arithmetic function decreasing the natural numbers

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 4, Pages 16–19
Full paper (PDF, 130 Kb)

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

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

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., & Crstici, B. (1995) Handbook of Number Theory, Kluwer, Dordrecht.