Mastering Infinite Series: How to Use the Riemann Zeta Function 🔍

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We will find the series of zeta(s)-1 and it turns out to be a double summation problem. See here for another example of changing the order of a double summation: https://youtu.be/8BGxSgSkc2c. We will end up with a geometric series and then a telescoping series! Note, the limit of zeta(s) as s goes to infinity is tricky. Be sure to do it carefully.

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0:00 Quick intro to Riemann Zeta function and its special values
3:20 Main question of the day: Series of zeta(s)-1
9:59 Check out Brilliant
10:55 bonus part (limit of the zeta function)