algebraic numberAlgebraicNumber2001-10-15 20:14:532006-10-26 19:27:13Definitionalgebraic number theory\usepackage{amssymb}
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\usepackage{xypic}A number $\alpha \in \mathbb{C}$ is called an \emph{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 $f(\alpha )=0$.