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A study on a type of degenerate poly-Dedekind sums
- Source :
- Demonstratio Mathematica, Vol 57, Iss 1, Pp 1051-1073 (2024)
- Publication Year :
- 2024
- Publisher :
- De Gruyter, 2024.
-
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.
Details
- Language :
- English
- ISSN :
- 23914661
- Volume :
- 57
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.65f7161323f43dfa25046094e6f6ffb
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2023-0121