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Wirsing-type inequalities

2014/02/18 by Levin, Aaron
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1402.4498

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.

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