Negative 1/12

Pretty interesting proof on summation of all natural numbers. If you've never seen this before and enjoy math it is worth a watch. Would love to hear people's thoughts on this.

http://www.numberphile.com/videos/analytical_continuation1.html

 

It's not a "proof of the summation of all natural numbers", it's a zeta-representation that is misunderstood by most mathematically inept folks.

Edit: And the proof he provides belies the fact that the sums S_1,etc don't exist in the first place.

 
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