# A Squared Riemann Zeta

Calculus Level 5

$\large \sum_{n=1}^\infty \dfrac{\zeta^2(-2n+1)}{B_{2n}^2}$

If the value of the series above is equal to $$\dfrac{\pi^A}{B}$$, where $$A$$ and $$B$$ are integers, find $$A+B$$.

Notations

• $$\zeta(\cdot)$$ denote the Riemann zeta function.

• $$B_n$$ denote the $$n^\text{th}$$ Bernoulli number.

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