= Schmidt subspace theorem
{c}
{wiki=Schmidt_subspace_theorem}
Let $L_1,\ldots,L_n$ be linearly independent <linear form>[linear forms] in $n$ variables with algebraic coefficients. For every $\varepsilon>0$, the nonzero $\mathbf x\in\mathbb Z^n$ satisfying
$$
\prod_{i=1}^n|L_i(\mathbf x)|
<\|\mathbf x\|^{-\varepsilon}
$$
lie in finitely many proper <linear subspace>[linear subspaces] of $\mathbb Q^n$. There are variants involving a finite set of places of a <number field>.
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