View source for Algebraic independence, measure of

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The measure of algebraic independence of the numbers $\alpha_1,\dots,\alpha_m$ is the function

$$\Phi(\alpha_1,\dots,\alpha_m;n,H)=\min|P(\alpha_1,\dots,\alpha_m)|,$$

where the minimum is taken over all polynomials of degree at most $n$, with rational integer coefficients not all of which are zero, and of height at most $H$. For more details see [[Transcendency, measure of|Transcendency, measure of]].