正特征局部场上的非齐次Sprindžhuk猜想

Dynamics: Topology and Numbers Pub Date : 2019-03-18 DOI:10.1090/conm/744/14928

Arijit Ganguly, Anish Ghosh

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引用次数: 2

摘要

在一个具有正特征的局部域上，证明了非齐次Sprindzhuk猜想在度量丢番图近似中的一个强化版本。主要的工具是Beresnevich和Velani的移转原理，加上第二个作者的早期工作，他证明了标准，即齐次版本。

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The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic

We prove a strengthened version of the inhomogeneous Sprindzhuk conjecture in metric Diophantine approximation, over a local field of positive characteristic. The main tool is the transference principle of Beresnevich and Velani coupled with earlier work of the second named author who proved the standard, i.e. homogeneous version.

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Dynamics: Topology and Numbers

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