Eisenstein integer

Meaning

Noun

• A complex number of the form $a\; +\; b\; \backslash omega$, where a and b are integers and ω is defined by the following two rules: (1) $\backslash omega^3\; =\; 1$ and (2) $1\; +\; \backslash omega\; +\; \backslash omega^2\; =\; 0$; an element of the Euclidean domain $\backslash mathbb\{Z\}[\backslash omega]$.

Related

Narrower meaning words

• Eisenstein prime

Broader meaning words

• quadratic integer

Origin

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