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# algebraic number

*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 $f(\alpha)=0$.

Keywords:

algebraic number theory

Related:

Pi, Irrational, AlgebraicElement, DegreeOfAnAlgebraicNumber

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

11R04*no label found*41A58

*no label found*41A50

*no label found*42B05

*no label found*42A16

*no label found*42C15

*no label found*18-00

*no label found*

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