Symbols:Z/Gaussian Integers

The Gaussian Integers

$\Z \sqbrk i$

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:

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

The $\LaTeX$ code for \(\Z \sqbrk i\) is \Z \sqbrk i .