If you sum up C/j^2, that’s finite, with the value given by Riemann’s zeta function. Zeta of 2 is around 1.645.
It’s C/j that goes up to infinity, logarithmically.
...which is pi^2/6, making the sum equal to 1, which it should be, as a probability measure.
And that sum is the expectation value.
Oh freddled gruntbuggly I misread the OP. DUM de DUM.
If you sum up C/j^2, that’s finite, with the value given by Riemann’s zeta function. Zeta of 2 is around 1.645.
It’s C/j that goes up to infinity, logarithmically.
...which is pi^2/6, making the sum equal to 1, which it should be, as a probability measure.
And that sum is the expectation value.
Oh freddled gruntbuggly I misread the OP. DUM de DUM.