Extension factor: Definition, properties and problems. Part 1

Krassimir T. Atanassov and József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 3, Pages 36-43
DOI: 10.7546/nntdm.2019.25.3.36-43
Full paper (PDF, 166 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-8010, Bulgaria

József Sándor
Babes-Bolyai University of Cluj, Romania

Abstract

A new arithmetic function, called “Extension Factor” is introduced and some of its properties are studied.

Keywords

• Arithmetic function
• Extension factor

2010 Mathematics Subject Classification

• 11A25

References

1. Atanassov, K. (1987). New integer functions, related to ϕ and σ functions, Bulletin of Number Theory and Related Topics, XI (1), 3-26.
2. Atanassov, K. (2002). Restrictive factor: Definition, properties and problems. Notes on Number Theory and Discrete Mathematics, 8 (4), 117-119.
3. Atanassov, K. (2016) On function “Restrictive factor”. Notes on Number Theory and Discrete Mathematics, 22 (2), 17-22.
4. Mitrinovic, D. S. & Sándor, J., & Crstici, B. (1995). Handbook of number theory, Kluwer Acad. Publ.
5. Sándor, J. (1989). On some Diophantine equations for particular arithmetic functions, Seminarul de Teoria Structurilor, Univ. Timisoara, Romania, 53, 1-10.
6. Sándor, J. (2010). Two arithmetic inequalities, Advanced Studies in Contemporary Mathematics, 20 (2), 197-202.
7. Sándor, J. et al., Handbook of number theory I, Springer Verlag, 2005 (First printing 1995 by Kluwer Acad. Publ.).