Friday, October 21, 2016

[hlxggeky] Zeta contours around the pole

What is the shape of the Riemann zeta function in the vicinity of its pole at s=1?  Circularly symmetric?  It shoots up to infinity, but how quickly?  This should be easy to investigate.  The questions might be slightly tricky because it is complex-valued.

Magnitude might be an interesting shape to 3D print, a funnel.

Invert the function centered at the pole, transforming it to a pole at infinity.

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