Calculus 2

Calculus Level pending

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

The equation above holds true for integers \(a\) and \(b\), find \(b-a\).

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

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