An equation involving Dedekind’s function

Cristinel Mortici
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 4, Pages 37—39
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Authors and affiliations

Cristinel Mortici
1 Valahia University of Târgoviște, Department of Mathematics
Bd. Unirii 18, 130082, Târgoviște, Romania
2 Academy of Romanian Scientists
Splaiul Independenței 54, 050094 Bucharest, Romania

Abstract

In this note we solve the equation
\frac{1}{\psi \left( a^{2}\right) }+\frac{1}{\psi \left( b^{2}\right) }+ \frac{1}{\psi \left( c^{2}\right) }=\frac{1}{\psi \left( ab\right) }+\frac{1}{\psi \left( bc\right) }+\frac{1}{\psi \left( ca\right) },
where ψ is Dedekind’s function.

Keywords

  • Dedekind’s function
  • Inequalities

AMS Classification

  • 11A25
  • 11A41

References

  1. Mortici, C. On arithmetic functions means, Intern. J. Math. Educ. Sci. Tech., Vol. 42, 2010, No. 2, 229–235.

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Cite this paper

APA

Mortici, C. (2014). An equation involving Dedekind’s function. Notes on Number Theory and Discrete Mathematics, 20(4), 37-39.

Chicago

Mortici, Cristinel. “An Equation Involving Dedekind’s Function.” Notes on Number Theory and Discrete Mathematics 20, no. 4 (2014): 37-39.

MLA

Mortici, Cristinel. “An Equation Involving Dedekind’s Function.” Notes on Number Theory and Discrete Mathematics 20.4 (2014): 37-39. Print.

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