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Eisenstein integers
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(Definition)
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Let $\rho = (-1 + \sqrt{-3})/2$ where we arbitrarily choose $\sqrt{-3}$ to be either of the complex numbers whose square is $-3$ Note that ${\rho}^3=1$ The Eisenstein integers are the ring $\mathbb{Z}[ \rho ] = \{ a + b \rho : a , b \in \mathbb{Z} \}$
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"Eisenstein integers" is owned by KimJ.
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Cross-references: ring, square, complex numbers
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This is version 8 of Eisenstein integers, born on 2001-10-15, modified 2006-08-17.
Object id is 208, canonical name is EisensteinIntegers.
Accessed 3357 times total.
Classification:
| AMS MSC: | 11R04 (Number theory :: Algebraic number theory: global fields :: Algebraic numbers; rings of algebraic integers) |
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Pending Errata and Addenda
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