# 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`

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The $\LaTeX$ code for \(\Zeta\) is `\Zeta`

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## Zenith Distance

- $\zeta$

Let $X$ be the position of a star (or other celestial body) on the celestial sphere.

The **zenith distance** of $X$ is defined as the angle subtended by the the arc of the vertical circle through $X$ between $X$ and the zenith.

The $\LaTeX$ code for \(\zeta\) is `\zeta`

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## Riemann Zeta Function

- $\map \zeta s$

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

- $\displaystyle \map \zeta s = \sum_{n \mathop = 1}^\infty \frac 1 {n^s}$

The $\LaTeX$ code for \(\map \zeta s\) is `\map \zeta s`

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