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.
Give your answer to 1 decimal place.
\[\] Notation: \(\zeta(\cdot) \) denotes the Riemann zeta function.
by
Ariel Gershon