二值数列相对于等差数列分布的不规则性，II(构造界)

Uniform distribution theory Pub Date : 2018-12-01 DOI:10.2478/udt-2018-0008

Cécile Dartyge, Katalin Gyarmati, A. Sárközy

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引用次数: 0

摘要

摘要本文第一部分研究了二值数列相对于短等差数列分布的不规则性。首先，我们介绍了这个性质的定量度量。然后对给定长度的二值序列研究了该测度的典型值和最小值。在本文中，我们的目标是给出这些极小值的建设性界。

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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On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, II (Constructive Bounds)

Abstract In Part I of this paper we studied the irregularities of distribution of binary sequences relative to short arithmetic progressions. First we introduced a quantitative measure for this property. Then we studied the typical and minimal values of this measure for binary sequences of a given length. In this paper our goal is to give constructive bounds for these minimal values.

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Uniform distribution theory

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