LaTeX Zeta (ζ) - Complete Guide

The Greek letter zeta (ζ) is used in mathematics for complex variables and the Riemann zeta function.

Symbol Preview

Zeta

LaTeX Code

Method 1: Using \zeta

No package required

Recommended

\zeta

Standard zeta symbol

What is the LaTeX Zeta?

Zeta is the sixth letter of the Greek alphabet. It is most famous for its use in the Riemann zeta function, one of the most important functions in analytic number theory. It is also used for complex variables and other mathematical quantities.

How to Use Zeta in LaTeX

Method 1: Using \zeta

✅No package required

Standard zeta symbol

Example: Using \zeta

latex

\documentclass{article}

\begin{document}

% Using the Zeta
Text with \zeta

\end{document}

Common Use Cases

The Zeta symbol is commonly used in the following contexts:

Riemann Zeta Function

The most famous use of zeta in mathematics.

Code

The Riemann zeta function is defined as $\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}$

Output

The Riemann zeta function is defined as ζ(s) = Σ 1/n^s

Complex Variables

Used for complex-valued variables.

Code

Let $\zeta = e^{2\pi i/n}$ be a primitive root of unity.

Output

Let ζ = e^(2πi/n) be a primitive root of unity.

Complete Examples

Riemann Zeta Function

Famous result involving the zeta function

latex

\documentclass{article}
\begin{document}

The Riemann zeta function at $s=2$ is $\zeta(2) = \frac{\pi^2}{6}$, which is the Basel problem.

\end{document}