TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS

Oleg N. German

Type: Article

Publication Date: 2020-03-27

Citations: 11

DOI: https://doi.org/10.1112/mtk.12022

Abstract

In this paper we prove transference inequalities for regular and uniform Diophantine exponents in the weighted setting. Our results generalise the corresponding inequalities that exist in the “nonweighted” case.

Locations

arXiv (Cornell University) - View - PDF
Mathematika - View

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Works Cited by This (16)

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+ PDF Chat	Diophantine Approximations and Diophantine Equations	1991	Wolfgang M. Schmidt
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+	On Compound Convex Bodies (I)	1955	Kurt Mahler
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+	On Exponents of Homogeneous and Inhomogeneous Diophantine Approximation	2005	Yann Bugeaud Michel Laurent
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