Algebraic independence, measure of
The measure of algebraic independence of the numbers $\alpha_1,\dots,\alpha_m$ is the function
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.
Algebraic independence, measure of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Algebraic_independence,_measure_of&oldid=35743