Linear independence, measure of
From Encyclopedia of Mathematics
of numbers 
The function
 |
where the minimum is taken over all possible sets of integers 
satisfying the conditions
 |
It is known that
 |
where 
if all the numbers 
are real, and 
otherwise. To obtain lower bounds of 
with respect to the parameter 
for specific sets of numbers 
is one of the problems of the theory of Diophantine approximations.
How to Cite This Entry:
Linear independence, measure of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_independence,_measure_of&oldid=14591
Linear independence, measure of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linear_independence,_measure_of&oldid=14591
This article was adapted from an original article by Yu.V. Nesterenko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article