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arxiv: 1605.04933 · v2 · pith:TA74IO44new · submitted 2016-05-16 · 🧮 math.NT

The average number of divisors of the Euler function

classification 🧮 math.NT
keywords boundfunctionaveragecitedivisorseulerlowerupper
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The upper bound and the lower bound of average numbers of divisors of Euler Phi function and Carmichael Lambda function are obtained by Luca and Pomerance (see \cite{LP}). We improve the lower bound and provide a heuristic argument which suggests that the upper bound given by \cite{LP} is indeed close to the truth.

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