Vieta’s formulas and $\zeta(2)$ Get link Facebook X Pinterest Email Other Apps - May 13, 2024 (This is Yan Sheng.) At some point I came up with a new idea to prove the famous identity$$\zeta(2)\coloneqq\sum_{n=1}^\infty\frac1{n^2}=\frac{\pi^2}6.$$ Read more