# 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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