Note on φ, ψ and σ-functions. Part 7

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 3, Pages 50—53
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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

The inequality
\frac{\Om(n) - \om(n)}{2^{\Om(n) - \om(n)}} \f(n) \leq \si(n) - \psi(n) < 2^{\Om(n)-1} \f(n)
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.

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Cite this paper

Atanassov, K. (2014). Note on φ, ψ and σ-functions. Part 7. Notes on Number Theory and Discrete Mathematics, 20(3), 50-53.

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