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On the sum of the first n values of the Euler function

R. Balasubramanian; Florian Luca; Dimbinaina Ralaivaosaona — 2014

Acta Arithmetica

Let ϕ(n) be the Euler function of n. We put $E (n) = \sum_{m \leq n} ϕ (m) - (3 / π ²) n ²$ and give an asymptotic formula for the second moment of E(n).

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