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arxiv: 1402.4498 · v1 · pith:YNXHHBBInew · submitted 2014-02-18 · 🧮 math.NT

Wirsing-type inequalities

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keywords theoremalgebraicapproximatingnumberswirsingapproximationboundedcertain
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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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