On a lower bound of Hausdorff dimension of weighted singular vectors

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-05-14 DOI:10.1112/mtk.12252

Taehyeong Kim, Jaemin Park

引用次数: 0

Abstract

Let be a -tuple of positive real numbers such that and . A -dimensional vector is said to be -singular if for every , there exists such that for all , the system of inequalities

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论加权奇异向量的 Hausdorff 维数下限

设为正实数元组，且。如果对于每个，都存在这样的不等式系，即对于所有，都存在这样的不等式系，则称一个 -维向量为 -奇异向量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.