A study on a type of degenerate poly-Dedekind sums-Reference-Cited by-同舟云学术

A study on a type of degenerate poly-Dedekind sums

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Ma Yuankui¹,Luo Lingling¹,Kim Taekyun²¹,Li Hongze³,Zhang Wenpeng¹

Affiliation:

1. School of Science, Xi’an Technological University , Xi’an , 710021, Shaanxi , P. R. China

2. Department of Mathematics, Kwangwoon University , Seoul 139-701 , Republic of Korea

3. School of Mathematical Sciences, Shanghai Jiao Tong University , Shanghai, 200240 , P. R. China

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0121/pdf

Reference21 articles.

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