# Symbols:Greek/Zeta

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## Zeta

The $6$th letter of the Greek alphabet.

Minuscule: $\zeta$
Majuscule: $\Zeta$

The $\LaTeX$ code for $\zeta$ is \zeta .

The $\LaTeX$ code for $\Zeta$ is \Zeta .

### Riemann Zeta Function

$\zeta \left({s}\right)$

The Riemann Zeta Function $\zeta$ is the complex function defined on the half-plane $\Re(s)>1$ as the series:

$\displaystyle \zeta \left({s}\right) = \sum_{n \mathop = 1}^\infty\frac1{n^s}$

The $\LaTeX$ code for $\zeta \left({s}\right)$ is \zeta \left({s}\right) .