$L'/L(s,\chi)\ll\log^2 q(|t|+2)$ in the zero-free region, after removing the poles at $1$ and at the exceptional zero (Davenport §§16, 19)

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$L'/L(s,\chi)\ll\log^2 q(|t|+2)$ in the zero-free region, after removing the poles at $1$ and at the exceptional zero (Davenport §§16, 19) · Prove2Me