Note on φ, ψ and σ-functions. Part 5

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 18, 2012, Number 1, Pages 58–62
Full paper (PDF, 142 Kb)

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Authors and affiliations

Krassimir 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

Inequalities connecting φ, ψ and σ-functions are formulated and proved.

Keywords

• Arithmetic functions φ, ψ and σ

AMS Classification

• 11A25

References

1. Atanassov, K. Note on φ, ψ and σ-functions. Notes on Number Theory and Discrete Mathematics, Vol. 12, 2006, No. 4, 25–28.
2. Atanassov, K. Note on φ, ψ and σ-functions. Part 2. Notes on Number Theory and Discrete Mathematics, Vol. 16, 2010, No. 3, 25–28.
3. Atanassov, K. Note on φ, ψ and σ-functions. Part 3. Notes on Number Theory and Discrete Mathematics, Vol. 17, 2011, No. 3, 13–14.
4. Atanassov, K. Note on φ, ψ and σ-functions. Part 4. Notes on Number Theory and Discrete Mathematics, Vol. 17, 2011, No. 4, 69–72.
5. Nagell, T. Introduction to Number Theory, John Wiley & Sons, New York, 1950.