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\(\sum_{n=1}^{\infty} n=\frac{-1}{12}\)

can any one explain how can that help in physics?

 Feb 9, 2017
 #1
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I have seen this before Majid.  I call it 'math magic'   :)

 

Maybe Alan can say something more helpful :)  

 

Do you want the proof or do you just want to know how it can be useful ?

 Feb 9, 2017
 #4
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thanks Emily! I just want to know how it can be useful ^^

Majid  Feb 10, 2017
 #2
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Hello Majid:

                   The best explanation of this great discovery is here:

https://www.youtube.com/watch?v=jcKRGpMiVTw&t=638s

 

This is called "Euler-Riemann zeta function". Its importance in physics is mainly in the "String Theory", but its treatment is highly advanced mathematics.

 Feb 9, 2017
 #5
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thanks for your answer ^^

Majid  Feb 10, 2017
 #3
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You could try reading the textbook String Theory, by Joseph Polchinski of the University of California, Santa Barbara, where the equation appears.  Good luck with that!

 Feb 9, 2017
 #6
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Thank you so much Alan ^^ I'll try to read the books that you recommended

Majid  Feb 10, 2017

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