- #1
tpm
- 67
- 0
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.
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.