Eisenstein integer

Meanings

1. A complex number of the form a+bω, where a and b are integers and ω is defined by the following two rules: (1) ω³=1 and (2) 1+ω+ω²=0; an element of the Euclidean domain ℤ[ω].

Etymology

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