I am currently reading Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis. On page 166, it states
$\frac{L'}{L}(1+r+it) \ll \frac{\zeta'}{\zeta}(1+r) \ll \frac{1}{r}$
- Why is this true?
2.(Here should I assume $\frac{L'}{L}(1+r+it)$ refers to $\frac{L'}{L}(1+r+it, \chi)$?