Unraveling the enigmatic function behind the Riemann hypothesis
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Music by Vince Rubinetti:   / riemann-zeta-function  

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:    • Euler's formula with introductory gro...  
- Mathologer's:    • e to the pi i for dummies  
- 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:    • What does it feel like to invent math?  

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.

Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld

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