Riemann Zeta Function

analysis

Definition

Riemann Zeta Function

The Riemann zeta function is a mathematical function of a complex variable defined as for, and its analytic continuation elsewhere.

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

where $s\in \mathbb{C}$ and $n\in \mathbb{N}$.