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 .

Zenith Distance

$\zeta$

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

The zenith distance $\zeta$ 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 .

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 .