Jordan totient quotients

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چکیده

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On Perfect Totient Numbers

Let n > 2 be a positive integer and let φ denote Euler’s totient function. Define φ(n) = φ(n) and φ(n) = φ(φ(n)) for all integers k ≥ 2. Define the arithmetic function S by S(n) = φ(n) + φ(n) + · · ·+ φ(n) + 1, where φ(n) = 2. We say n is a perfect totient number if S(n) = n. We give a list of known perfect totient numbers, and we give sufficient conditions for the existence of further perfect ...

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2020

ISSN: 0022-314X

DOI: 10.1016/j.jnt.2019.08.014