Eisenstein-integer meaning

(algebra) A complex number of the form , where a and b are integers and ω is defined by the following two rules: (1) and (2) ; an element of the Euclidean domain .

To divide an Eisenstein integer by another Eisenstein integer , notice that ; accordingly multiply both denominator and numerator (of the division expressed as a fraction) by , then simplify.

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Origin of eisenstein-integer

Named after Gotthold Eisenstein (1823–1852), German mathematician.