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algebraic number
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(Definition)
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A number $\alpha \in \mathbb{C}$ is called an algebraic number if there exists a polynomial $f(x) = a_n x^n + \cdots + a_0$ such that $a_0, \ldots , a_n$ not all zero, are in $\mathbb{Q}$ and $f(\alpha )=0$
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"algebraic number" is owned by KimJ.
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Cross-references: polynomial, number
There are 44 references to this entry.
This is version 5 of algebraic number, born on 2001-10-15, modified 2006-10-26.
Object id is 209, canonical name is AlgebraicNumber.
Accessed 8893 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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