Gaussian integer: Difference between revisions

Revision as of 03:25, 8 September 2013

Revision as of 22:30, 15 September 2013

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Formally, Gaussian integers are the set

:<math>\mathbb{Z}[i]=\{a+bi \mid a,b\in \mathbb{Z} \},\ \mbox{where}\ i^2 = \sqrt{-1}.</math>

Note that when they are considered within the [[complex plane]] the Gaussian integers may be seen to constitute the 2-dimensional [[integer lattice]].