Not easy as sum of squares

Calculus Level 2

\[\large \sum _{ k=1 }^{ \infty }{ \frac { 1 }{ k^{ 2 } } } \]

If the series above equals to \( \frac{\pi^a}b \) for positive integers \(a\) and \(b\), find the value of \(a+b\).

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