Compositions with the Euler and Carmichael Functions

نویسندگان

  • William D. Banks
  • Florian Luca
  • Filip Saidak
چکیده

Let φ and λ be the Euler and Carmichael functions, respectively. In this paper, we establish lower and upper bounds for the number of positive integers n ≤ x such that φ(λ(n)) = λ(φ(n)). We also study the normal order of the function φ(λ(n))/λ(φ(n)).

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منابع مشابه

Compositions with the Euler and Carmichael Functions

Let φ and λ be the Euler and Carmichael functions, respectively. In this paper, we establish lower and upper bounds for the number of positive integers n ≤ x such that φ(λ(n)) = λ(φ(n)). We also study the normal order of the function φ(λ(n))/λ(φ(n)).

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تاریخ انتشار 2005