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Haukkanen, P. (2002) On an Inequality Related to the Legendre Totient Function. Journal of Inequalities in Pure and Applied Mathematics, 3, Article 37.

has been cited by the following article:

• TITLE: Average Probability of an Element Being a Generator in the Cyclic Group

  AUTHORS: Yoshihiro Tanaka

  KEYWORDS: Generator, Cyclic Group, Euler Product

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.13 No.2, June 8, 2023

  ABSTRACT: All elements in the cyclic group are generated by a generator g. The number of generators ofof, namely is known to be Euler’s totient function ; however, the average probability of an element being a generator has not been discussed before. Several analytic properties of have been investigated for a long time. However, it seems that some issues still remain unresolved. In this study, we derive the average probability of an element being a generator using previous classical studies.