New posts in Fourier Series

Deriving formula from Fourier series: $\frac{\pi^2}{12} = \sum\limits_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^2}$

If the series $\sum_{k=1}^{\infty} a_k$ is Cesàro summable and $n a_n \to 0$ as $n \to \infty$, then the series converges

Solving Viscous Burgers using spectral method

Epicycles as precursors of Fourier series

Obtaining Fourier series of function without calculating the Fourier coefficients

Closed form of a series (dilogarithm)

Is Fourier series always used for periodic signals and Fourier transform for aperiodic signals only?

What is the sum over a shifted sinc function?

Can a non-periodic function have a Fourier series?

Why does $\sum_{k=1}^{\infty}\frac{{\sin(k)}}{k}={\frac{\pi-1}{2}}$?