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Comparing the coefficients in the Laurent developments of $cot(\pi z)$ and its expression as a sum of partial fractions, find the values of $\sum_{n=1}^\infty$ $\frac{1}{n^{4}}$ and $\sum_{n=1}^\infty$ $\frac{1}{n^{6}}$. I am struggling with this problem. I do not know where to start. Any help would be wonderful.

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    see [this thread](http://math.stackexchange.com/questions/115981/computing-zeta6/116100#116100)2012-03-06
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    I'm afraid I didn't quite follow the thread. Which part am I supposed to be following?2012-03-06

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