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Zeta on right half of complex plane

What's going on here should make much more sense when I'm narrating over it (especially because I will insert a few animations in the middle here to talk about complex exponentiation), but I thought I'd share it with you guys because the spiral converging sums were kind of fun.

Zeta on right half of complex plane

Comments

BRILLIANT! Never occurred to me that the Riemann Zeta sum looks like a spiral with the imaginary part giving "curliness"! This makes the Riemann Hypothesis so much more interesting. I was always like, "Riemann Hypothesis? Snore." Not anymore!

Jacob Mirra

While it's fun to see the equation resize itself at 0:10, it took me awhile to see that you're just plugging in a new argument. Maybe it will be more obvious in context, but would it look too weird or be too difficult to stretch out the first equation so that second one doesn't move the numerators and horizontal line?

Max Goldstein


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