Korobov格点差异的概率估计

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9522

A. A. Illarionov

引用次数: 0

摘要

Bykovskii(2002)从均匀分布中获得了Korobov格点最小差异的最佳当前上估计。我们证明这个估计适用于几乎所有维节点的Korobov格，其中，和是一个素数。参考书目:14篇。

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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A probability estimate for the discrepancy of Korobov lattice points

Bykovskii (2002) obtained the best current upper estimate for the minimum discrepancy of the Korobov lattice points from the uniform distribution. We show that this estimate holds for almost all -dimensional Korobov lattices of nodes, where , and is a prime number. Bibliography: 14 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis