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how Ramanujan did 1^2+2^2+3^2+...=0? i.e. the sum of n^2 is equal to 0? Doesn't 1^2+2^2+3^2+... diverge to infinity? This is actually what we call a trivial zero of the Riemann Zeta function based on the analytic continuation and Ramanujan summation.

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Huge thanks to Inder Taneja for crunching the numbers. I asked for a few number facts: they produced a whole paper. Inder's work on their site: https://inder...

Yes -1/12, Ramanujan Summation: https://youtu.be/U_g_OZLt4OU
Sum of all n^2, https://youtu.be/UsSC5v0o2Aw
How about let's get it to be -1/9: https://www.youtube.com/watch?v=Piamci9xnEM


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In this video, I derive the plastic number, which is a neat generalization of the golden ratio. It's given by a solution of a cubic equation, so I also show ...

Today is the day! We will check the answer to the integral of cube root of tan(x) by differentiation. HAPPY NEW YEAR!!!!

Integral of (tan(x))^(1/3), https://youtu.be/NO693oP7nHQ

He also did the derivative!!! Check out Fematika's
https://www.youtube.co…