A study on a type of degenerate poly-Dedekind sums

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2024-01-01 DOI:10.1515/dema-2023-0121

Yuankui Ma, Lingling Luo, Taekyun Kim, Hongze Li, Wenpeng Zhang

引用次数: 0

Abstract

Abstract Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing Bernoulli functions by degenerate poly-Bernoulli functions of arbitrary indices are introduced in this article and are shown to satisfy a reciprocity relation.

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关于一种退化的多戴金和的研究

摘要戴德金和及其广义是根据伯努利函数及其广义定义的。作为戴德金和的一种新的广义，本文介绍了退化多戴德金和，它是通过用任意指数的退化多伯努利函数代替伯努利函数从戴德金和中得到的，并证明它满足互易关系。

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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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.