# Identity of Zeta function

it is true in general that the sum (density of states for a physicst)

$$\sum_{n=0}^{\infty} \delta (x- \gamma _{n})$$

is related to the value $$\frac{ \zeta '(1/2+is)}{\zeta (1/2+is)}+\frac{ \zeta '(1/2-is)}{\zeta (1/2-is)}$$

here the 'gamma' are the imaginary parts of the non-trivial zeros of Riemann zeta function