# Tinkering With The $$\zeta$$ Function

Calculus Level 5

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

Find the value of the closed form of the above series.

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