Friday, November 10, 2017

[lprwbbia] zeta(1/2)

Interesting things happen with the Riemann zeta function on the critical line Re(s)=0.5.  This suggests that the point 1/2+0i might be special, as it is the only real point on the line.  The value of zeta at that point is approximately -1.46.

Because zeta is analytic, everything about the function (including its behavior in the critical strip) is contained in the evaluation of it and all its derivatives, at any point except the pole s=1.

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