But what is the Riemann zeta function? Visualizing analytic continuation

What people said

st1x7 · 2021-01 · Strong recommendation

I don't think it comes close to 3blue1brown's video on the same topic - [VIDEO] Still nice of the video in the original post to give a bit more of a historical context, instead of focusing entirely on the mathematics. It could have done without the building analogy around the beginning though, that didn't come up later and was just distracting.

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laurilove · 2018-05 · Strong recommendation

Appropriate juncture to repost this: [VIDEO] "Visualizing the Riemann zeta function and analytic continuation" (Watch the last 30s or so if nothing else. You'll not regret it.) There is a kind of 'real' Ural spiral [or really a kind of chaotically decaying 'orbit'] related dynamic that gives the prime numbers (assuming the RH.) Conceivable that OP's pattern might have some relation to this dynamic, and fun pondering to boot.

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jstx1 · 2023-09 · Recommendation

> The 1+2+3+4+... = -1/12 video still seems a bit of a cheat, though! Because in that video they do invalid operations. Compare it to how 3blue1brown handles this - [VIDEO] - the video is on the Riemann zeta function and my timestamp is on his comment about -1/12 at the end. But trying to explain something in a nuanced way doesn't get the same views as dumbing it down and coming up with a clickbait title (not that 3blue1brown is struggling for views). I understand that the two channels have somewhat different objectves and approaches but in this case one of them strikes me as much better. The top comment under the 3blue1brown video addresses this too - you don't need to additionally mystify math.

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