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
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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.

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Cite this paper

Atanassov, K. (2014). Note on φ, ψ and σ-functions. Part 5. Notes on Number Theory and Discrete Mathematics, 18(1), 58-62.

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