# Category:Definitions/Gaussian Integers

This category contains definitions related to Gaussian Integers.
Related results can be found in Category:Gaussian Integers.

A Gaussian integer is a complex number whose real and imaginary parts are both integers.

That is, a Gaussian integer is a number in the form:

$a + b i: a, b \in \Z$

The set of all Gaussian integers can be denoted $\Z \sqbrk i$, and hence can be defined as:

$\Z \sqbrk i = \set {a + b i: a, b \in \Z}$

## Pages in category "Definitions/Gaussian Integers"

The following 5 pages are in this category, out of 5 total.