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Daniel D.
Daniel D.
01:56
Hi, I was reading a question where OP stars by mentioning the asymptotic $\sum_{n \in \mathbb{N} } \frac{\phi(n) } {n} w(n/x)=c_0(w) x+c_1(w) (\log^2 x ) +o(\log^2 x )\tag{1}$, I don't know much so I asked for a reference to see If I could understand further and he linked a paper mentioning equation number 9 which is
$\sum_{n \in \mathbb{N} } \frac{n } {\phi(n)} (1-\frac{n}{x})=\frac{A}{2}(w) x-\frac12\log x+\frac{(1-D)}{2}+o(x^{-1/5} )\tag{2}$, so I was wondering if someone could help me understand how does one go from (2) to (1) (as I understand $w(n/x)=(1-\frac{n}{x})$ )

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