Can this sum be made?

[tpm]

Can this sum be made??

let be the sum:

$$f(x) = \sum_{\rho}exp(\rho x)$$

where the sum is made over all Non-trivial zeros of $$\zeta (s)$$

is the sum 'calculable' i mean:

* the sum converges to the function f(x) for every x (even x big) except perhaps at certain points where f(x) has discontinuities

* If we asume RH then does the result simplifies ??... thanks.

Also i would like to know if $$\sum_{n=1}^{\infty} log ( \zeta (ns)$$ s >1 converges to a finite value.

 

[Gib Z]

2nd question, Yes.