Algebraic independence, measure of

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The measure of algebraic independence of the numbers is the function

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

How to Cite This Entry:
Algebraic independence, measure of. Encyclopedia of Mathematics. URL:,_measure_of&oldid=14761
This article was adapted from an original article by A.B. Shidlovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article