1. A study on a type of degenerate poly-Dedekind sums
- Author
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Ma Yuankui, Luo Lingling, Kim Taekyun, Li Hongze, and Zhang Wenpeng
- Subjects
degenerate poly-dedekind sums ,degenerate polylogarithm functions ,degenerate poly-bernoulli polynomials ,11f20 ,11b68 ,11b83 ,Mathematics ,QA1-939 - 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.
- Published
- 2024
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