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Generalizing a result on sums involving Euler's function

Motivation: It's known that there is a constant $0<K$ such that for any natural number $N$, $KN\leq \frac{\varphi(1)}{1}+\frac{\varphi(2)}{2}+\cdots+\frac{\varphi(N)}{N}$ (with $\varphi$ being ...
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449 views

On sums involving Euler's totient function

I've been struggling with the following claim without being able to prove it, so your help would be highly appreciated: Let $\varphi(n)$ be Euler's totient function. Show that there is a constant ...