On the sum of the first $n$ values of the Euler function
Volume 163 / 2014
Acta Arithmetica 163 (2014), 199-201
MSC: Primary 11N37.
DOI: 10.4064/aa163-3-1
Abstract
Let $\phi (n)$ be the Euler function of $n$. We put $E(n)= \sum _{m\le n} \phi (m)-(3/\pi ^2) n^2$ and give an asymptotic formula for the second moment of $E(n)$.