论广义模式序列的正交性

arXiv - CS - Discrete Mathematics Pub Date : 2024-06-24 DOI:arxiv-2406.16411

Shuo LiThe University of Winnipeg

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引用次数: 0

摘要

自 20 世纪 50 年代以来，不同的学者对在正整数的二进制展开中出现特定模式的整数序列的偏和进行了研究。在本说明中，我们将介绍广义模式序列，即在任意整数基中计算正整数展开中出现的有限数量的不同模式，并分析它们的偏和。

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 the Orthogonality of Generalized Pattern Sequences

The partial sums of integer sequences that count the occurrences of a specific pattern in the binary expansion of positive integers have been investigated by different authors since the 1950s. In this note, we introduce generalized pattern sequences, which count the occurrences of a finite number of different patterns in the expansion of positive integers in any integer base, and analyze their partial sums.

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来源期刊

arXiv - CS - Discrete Mathematics

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