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
Download full paper: PDF, 151 Kb


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


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.


  • Dedekind’s function
  • Inequalities

AMS Classification

  • 11A25
  • 11A41


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

Related papers

Cite this paper

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

Comments are closed.