Ok, so how would I use what I have to prove the second sum? That's assuming that Fourier series is right - I think it is, because the first sum works out. On a related note, how would I go about proving that \sum_{n=0}^{\infty} \frac{1}{(2n+1)^4} = \frac{\pi^4}{96}? I have started by saying...
Homework Statement
Let f(x)=x on [-\pi,\pi) and peridically extended. Compute the Fourier series and hence show:
\sum_{n \geq 1,nodd} \frac{1}{n^2} = \frac{\pi^2}{8} and \sum_{n \geq 1} \frac{1}{n^2} = \frac{\pi^2}{6} Homework Equations
Parseval's equality
The Attempt at a Solution
I...