Calculus 1

Calculus Level pending

\[ \large \sum_{n=1}^\infty \dfrac {(-1)^{n-1} }{n^{1729}} = (1-2^{-a}) \zeta(b) \]

The equation above holds true for positive integers \(a\) and \(b\). Find \(a+b\).

\[\] Notation: \(\zeta(\cdot) \) denotes the Riemann zeta function.

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