---
tag: 0WBRJXXDPZ
kind: concept
name: Norm on the Gaussian integers
msc: [11R11]
sources:
  - url: https://en.wikipedia.org/wiki/Gaussian_integer
    locator: Basic definitions
---

## Summary

The norm of a Gaussian integer $a + b i$ is $a^2 + b^2$, the square of its absolute value.
The [[definition of the norm|03AN1V4ZFJ]] gives its properties.