Krassimir T. Atanassov and József Sándor

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 1, Pages 31–39

DOI: 10.7546/nntdm.2020.26.1.31-39

**Full paper (PDF, 168 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
and
Intelligent Systems Laboratory
Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria*

József Sándor

*Babes-Bolyai University of Cluj, Romania*

### Abstract

Some new properties of the arithmetic function called “Extension Factor” and

introduced in Part 1 (see [5]) are studied.

### Keywords

- Arithmetic function
- Extension factor

### 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). Irrational factor: Definition, properties and problems.
*Notes on Number Theory and Discrete Mathematics*, 2 (3), 42–44. - Atanassov K. (2002). Converse factor: Definition, properties and problems.
*Notes on Number Theory and Discrete Mathematics*, 8 (1), 37– 38. - Atanassov K. (2002). Restrictive factor: Definition, properties and problems.
*Notes on Number Theory and Discrete Mathematics*, 8 (4), 117–119. - Atanassov, K. & Sándor, J. (2019). Extension factor: Definition, properties and problems. Part 1.
*Notes on Number Theory and Discrete Mathematics*, 25 (3), 36–43. - Ishikawa, I. (1934). Über die Verteileung der Primzahlen, Sci. Rep. Tokyo Univ., 2, 21–44.
- Mitrinovíc, & D., Popadíc, M. (1978). Inequalities in Number Theory. Nís, Univ. of Nís.
- Mitrinovíc, D., Sándor, J. (in coop. with B. Crstici). (1995). Handbook of Number Theory, Kluwer Acad. Publ.
- Panaitopol, L. (1998). On the inequality
*π*(*a*).*π*(*b*) >*π*(*ab*). Bull. Math. Soc. Sci. Math. Roumanie, 41 (89), 2, 135–139.

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## Cite this paper

Atanassov, K. T., & Sándor, J. (2020). Extension factor: Definition, properties and problems. Part 2. *Notes on Number Theory and Discrete Mathematics*, 26(1), 31-39, DOI: 10.7546/nntdm.2020.26.1.31-39.