Displaying similar documents to “Quantitative versions of the Subspace Theorem and applications”

Diophantine approximation and special Liouville numbers

Johannes Schleischitz (2013)

Communications in Mathematics

Similarity:

This paper introduces some methods to determine the simultaneous approximation constants of a class of well approximable numbers ζ 1 , ζ 2 , ... , ζ k . The approach relies on results on the connection between the set of all s -adic expansions ( s 2 ) of ζ 1 , ζ 2 , ... , ζ k and their associated approximation constants. As an application, explicit construction of real numbers ζ 1 , ζ 2 , ... , ζ k with prescribed approximation properties are deduced and illustrated by Matlab plots.