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
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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 φ(n)ψ(n)σ(n) ≥ n3 + n2n − 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.

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Cite this paper

APA

Atanassov, K. (2013). Note on φ, ψ and σ-functions. Part 6. Notes on Number Theory and Discrete Mathematics, 19(1), 22-24.

Chicago

Atanassov, Krassimir. “Note on φ, ψ and σ-functions. Part 6.” Notes on Number Theory and Discrete Mathematics 19, no. 1 (2013): 22-24.

MLA

Atanassov, Krassimir. “Note on φ, ψ and σ-functions. Part 6.” Notes on Number Theory and Discrete Mathematics 19.1 (2013): 22-24. Print.

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