ThmDex – An index of mathematical definitions, results, and conjectures.

Result R268 on D476: Superharmonic series

Basel problem

Formulation 0

Let $\pi$ be the D168: Pi.

Then \begin{equation} \lim_{N \to \infty} \sum_{n = 1}^N \frac{1}{n^2} = \frac{\pi^2}{6} \end{equation}

Formulation 1

Let $\pi$ be the D168: Pi.

Then \begin{equation} \sum_{n = 1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6} \end{equation}