Derivative of Riemann Zeta Function

Theorem
The derivative of the Riemann zeta function is:


 * $\ds \map {\zeta'} z = \frac {\d \zeta} {\d z} = -\sum_{n \mathop = 2}^\infty \frac {\map \ln n} {n^z}$

Also see

 * Logarithmic Derivative of Riemann Zeta Function