one stop decorating Visualizing the Riemann hypothesis and analytic continuation

Unraveling an enigmatic function.
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Music by Vince Rubinetti: https://soundcloud.com/vincerubinetti...

Check out some of Vince's other work here: http://www.vincentrubinetti.com/

For those who want to learn more about complex exponentiation, here are a few resources:
- My video on the topic: http://youtu.be/mvmuCPvRoWQ
- Mathologer's: https://youtu.be/-dhHrg-KbJ0
- Better Explained: https://goo.gl/z28x2R

For those who want to learn more about the relationship between 1+2+3+4+... and -1/12, I'm quite fond of this blog post by Terry Tao: https://goo.gl/XRzyTJ

Also, in a different video "What does it feel like to invent math", I give a completely different example of how adding up growing positive numbers can meaningfully give a negative number, so long as you loosen your understanding of what distance should mean for numbers: https://youtu.be/XFDM1ip5HdU

Interestingly, that vertical line where the convergent portion of the function appears to abruptly stop corresponds to numbers whose real part is Euler's constant, ~0.577. For those who know what this is, it's kind of fun to puzzle about why this is the case.

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one stop decorating Visualizing the Riemann hypothesis and analytic continuation
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KhanAcademyPoPolsku Centrum Fizyki Teoretycznej PAN ensinoeinformacao Muhammed Nur Sabbağ Grinsekotze interesting ideas 570 Solara Rafael Garza Cantú Fabian Levican S. Simon Sir DSE 數學試煉場 nyroysa Dmitriy Kashitsyn rodrigueskorn Naoshikuu Dmitry Bushev 570 Solara SciTech Guru Iwabuchi Takashi Παναγιώτης Πετρίδης Education	Upload TimePublished on 9 Dec 2016

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