LaTeX Zeta (ζ) - 完整指南

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

LaTeX Zeta 是什么？

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.

如何在 LaTeX 中使用 Zeta

方法 1：使用 \zeta

✅无需额外包

Standard zeta symbol

示例：使用 \zeta

latex

\documentclass{article}

\begin{document}

% Using the Zeta
Text with \zeta

\end{document}

常见用途

Zeta 符号通常用于以下情况：

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.

完整示例

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}