多重谐波q和的Maesaka-Seki-Watanabe公式

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Number Theory Pub Date : 2025-05-06 DOI:10.1016/j.jnt.2025.02.009

Yuto Tsuruta

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引用次数: 0

摘要

Maesaka、Seki和Watanabe最近发现了一个被称为城市垃圾公式的等式。本文给出了生活垃圾的q模拟公式。利用MSW公式的q-类比，讨论了有限多重调和q级数在原始单位根处对偶关系的新证明。本文还给出了Yamamoto对Schur型MSW公式的推广的q-类比。

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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Maesaka–Seki–Watanabe's formula for multiple harmonic q-sums

Maesaka, Seki, and Watanabe recently discovered an equality called the MSW formula. This paper provides a q-analogue of MSW formula. It discusses a new proof of the duality relation for finite multiple harmonic q-series at primitive roots of unity via q-analogue of MSW formula. This paper also gives a q-analogue of Yamamoto's generalization of MSW formula for Schur type.

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来源期刊

Journal of Number Theory 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

122

审稿时长

16 weeks

期刊介绍： The Journal of Number Theory (JNT) features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field. The Journal of Number Theory is encouraging submissions of quality, long articles where most or all of the technical details are included. The journal now considers and welcomes also papers in Computational Number Theory. Starting in May 2019, JNT will have a new format with 3 sections: JNT Prime targets (possibly very long with complete proofs) high impact papers. Articles published in this section will be granted 1 year promotional open access. JNT General Section is for shorter papers. We particularly encourage submission from junior researchers. Every attempt will be made to expedite the review process for such submissions. Computational JNT . This section aims to provide a forum to disseminate contributions which make significant use of computer calculations to derive novel number theoretic results. There will be an online repository where supplementary codes and data can be stored.