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Finding the sum of this p-series

  • Thread starter Theorγ
  • Start date
  • #1
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Homework Statement


How do you find the sum of the p-series 1/n^2 from n = 1 to infinity? My friend asked me this question and I was completely stumped; I have no leads on what you are suppose to do to solve this. I would be glad if you guys could give me hints as to how to begin solving.

Homework Equations


Not sure what is used to solve this


The Attempt at a Solution

 

Answers and Replies

  • #2
LeonhardEuler
Gold Member
859
1
This is called the Basel Problem, and it was first solved by Euler. There are several ways of solving it; I think the easiest is with a Fourrier series. There are severla proofs here:
http://en.wikipedia.org/wiki/Basel_problem
 

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