/sci/ - Science & Math

>>11591375
going in your general direction
http://oeis.org/A129935

>>11591301
>Newton method?
I think what you do is you can wrap a box around an interval on the cricial line (e.g. (0,0) and (1,7i) being the lower left and upper right corner of a rectangle of volume 7 encloding the critical strip from 1/2 to 1/2+7i). Then evaluating along this conture for Log(zeta(s))', i.e. zeta'(s)/zeta(s), gives the number of poles of Log(zeta(s)), i.e. zeros of zeta(s). Say there's 5 zeros. You then put a grid on the box and make sure the sinks are not on the critical line.
Then you go up along the imaginary axis. This way you can exclude non-trivial zeros on the line.

Although it's actually the case that the Riemann hypothesis is [math] \Pi_1 [/math], in the sense of
https://en.wikipedia.org/wiki/Arithmetical_hierarchy
so there's a non-analytic statement equivalent to it (in fact, I think you can find some online.)