\begin{displaymath} \lim_{n \to \infty} \sum_{k=1}^n \frac{1}{k^2} = \frac{\pi^2}{6} \end{displaymath} \[ \forall f\in C^\infty\left(\left[-\frac{T}{2};\frac{T}{2}\right]\right), \forall t\in \left[-\frac{T}{2};\frac{T}{2}\right], f(\tau) = \sum_{k = -\infty}^{+\infty} e^{2i\pi\frac{k}{T}t} \times \underbrace{\frac{1}{T} \int_{-\frac{T}{2}}^{\frac{T}{2}} f(t) e^{-2i\pi\frac{k}{T}t} dt }_{a_k = \tilde{f}\left(\nu = \frac{k}{T}\right)} \]