关于中程交叉常数的几点说明

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2019-06-30 DOI:10.1556/012.2020.57.2.1453

É. Czabarka, É. Czabarka, Inne Singgih, L. Székely, L. Székely, Zhiyu Wang

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引用次数: 0

摘要

从1997年开始，我们验证了Pach和Tóth的上界。其上限的细节尚不清楚。我们的验证与他们的方法不同，是基于1965年的Moon结果。由于Moon的结果是最优的，我们提出了中程交叉常数是否为的问题。

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Some remarks on the midrange crossing constant

We verify an upper bound of Pach and Tóth from 1997 on the midrange crossing constant. Details of their upper bound have not been available. Our verification is different from their method and hinges on a result of Moon from 1965. As Moon’s result is optimal, we raise the question whether the midrange crossing constant is .

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.