Algebraic independence, measure of
From Encyclopedia of Mathematics
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: http://encyclopediaofmath.org/index.php?title=Algebraic_independence,_measure_of&oldid=14761
Algebraic independence, measure of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Algebraic_independence,_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