Riemann and Bernoulli join forces

Calculus Level 5

If \(B_n\) denotes the \(n^\text{th} \) Bernoulli number, evaluate

\[\sum_{n=1}^\infty \frac{\zeta(2n)}{B_{2n}}.\]

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

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