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Diophantine sets and Dirichlet improvability - MaRDI portal

Diophantine sets and Dirichlet improvability (Q2165900)

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scientific article; zbMATH DE number 7574229
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English
Diophantine sets and Dirichlet improvability
scientific article; zbMATH DE number 7574229

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    Diophantine sets and Dirichlet improvability (English)
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    23 August 2022
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    Based on author's abstract: The aim of this paper is to extend a recent result of \textit{V. Beresnevich} et al. [Adv. Math. 401, Article ID 108316, 57 p. (2022; Zbl 1491.11068)] on relations between Dirichlet improvability, bad approximability and singularities. In this note, the author considers Diophantine sets extending the notion of bad approximability and the parametric geometry of numbers.
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    Diophantine approximation
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    metric Diophantine approximation
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    geometry of numbers
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