Psi and Riemann together?

Calculus Level 5

$\sum _{ k=1 }^{ \infty }{ \dfrac { { \psi }^{ 1 }\left( k \right) }{ k } } =\sum _{ n=1 }^{ \infty }{ \dfrac { A }{ { n }^{ B } } }$

If the equation above holds true for positive integers $A$ and $B$ , find $A+B$ .