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calculus - Nice proofs of $\zeta (4) = \frac {\pi^4} {90 . . . I know some nice ways to prove that $\\zeta(2) = \\sum_{n=1}^{\\infty} \\frac{1}{n^2} = \\pi^2 6$ For example, see Robin Chapman's list or the answers to the question "Different methods to compute $\\s