Archives

Wirsing-type Inqualities
by Aaron Levin

Vol. 9 No. 4 (2014) P.685~P.710

ABSTRACT

Wirsing’s theorem on approximating algebraic numbers by algebraic numbers of bounded degree is a generalization of Roth’s theorem in Diophantine approximation. We study variations of Wirsing’s theorem where the inequality in the theorem is strengthened,but one excludes a certain easily-described special set of approximating algebraic points.

KEYWORDS
Wirsing’s theorem, Diophantine approximation, schmidt subspace theo- rem.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: Primary 11J68; Secondary 11J87.

MILESTONES