Riemann Zeta Function

Riemann zeta function is:

$$\zeta (s)=\sum _{n=1}^{\infty }\frac{1}{n^s}\text{\hspace{1em}(1)}$$

When s is 1, it is Harmonic Series. When s is 2, it is Basel Problem. When s is 3, it is Apéry’s constant.