Northcott theorem (source code)

= Northcott theorem
{c}

= Northcott lemma
{c}
{synonym}

There are only finitely many algebraic numbers of bounded <field extension>[degree] and bounded <Absolute multiplicative Weil height>. The finite set can be enumerated effectively from the bounded coefficients of their primitive minimal polynomials.

The degree and <Absolute multiplicative Weil height> bounds are both essential.