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A capital Greek letter Zeta commonly used for special functions, particularly the Riemann zeta function in number theory.

\Zeta image

Examples

Riemann zeta function notation

\Zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}

Special values of the zeta function

\Zeta(2) = \frac{\pi^2}{6}

Zeros of the zeta function

\Zeta(\frac{1}{2} + it) = 0 \text{ for certain } t \in \mathbb{R}