How can I calculate Riemann zeta function for large imaginary parts?

asked 2019-12-14 13:30:01 -0500

Rami Rami gravatar image

I tried to calculate it for some complex number with imaginary part more than 10^19 but it didn't work out.

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How did you try it, and in what way did it not "work out"?

Iguananaut gravatar imageIguananaut ( 2019-12-16 08:03:49 -0500 )edit

I tried to calculate it on Sage Cell Server. I wrote zeta(0.5+40000000000000000000*I) and clicked evaluate, then it said there is overflow.

Rami Rami gravatar imageRami Rami ( 2019-12-17 05:35:55 -0500 )edit

It seems PARI simply can't handle such a large number. Does anyone have any other ideas?

Iguananaut gravatar imageIguananaut ( 2019-12-23 09:21:52 -0500 )edit