Note on φ, ψ and σ-functions. Part 6

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 19, 2013, Number 1, Pages 22–24
Full paper (PDF, 118 Kb)

Details

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

The inequality φ(n)ψ(n)σ(n) ≥ n³ + n² − n − 1. connecting φ, ψ and σ-functions is formulated and proved.

Keywords

• Arithmetic functions φ, ψ and σ

AMS Classification

• 11A25

References

1. Mitrinovic, D., J. Sándor, Handbook of Number Theory, Kluwer Academic Publishers, 1996.
2. Nagell, T., Introduction to Number Theory, John Wiley & Sons, New York, 1950.