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Euler function summation

MathOverflow Asked by Andrej Leško on December 13, 2020

Haw can I estimate
$$
min_{qlesqrt{x}}frac{x}{q}sum_{substack{1le a<q,\(a,q)=1}}sum_{substack{1le b<a,\ (b,a)=1}} frac{varphi(a+bq)}{a(a+bq)},
$$

where $varphi(n)$ is Euler Totient function, as $x$ goes to infinity?

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