LaTeX Zeta (ζ) - Complete Guide

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

Symbol Preview

ζ

Zeta

LaTeX Code

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}

Frequently Asked Questions

Which method should I use?

We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:

  • \zeta: Standard zeta symbol

Where do I use this symbol?

This symbol can be used:

  • In mathematical equations (math mode)
  • In regular text (if using text mode)
  • In various document environments

Can I use this in display mode?

Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.

🔗 Related Symbols You May Need

ε

Epsilon

\epsilon
η

Eta

\eta
View all symbols →

🎯 Need to Convert PDF to LaTeX?

Our free PDF to LaTeX converter preserves all mathematical symbols and formatting.

✓ Fast & accurate

✓ Preserves symbols

✓ Free online

✓ No registration

Try Converter Now →