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- W3110315216 abstract "Abstract Apostol considered generalized Dedekind sums by replacing the first Bernoulli function appearing in Dedekind sums by any Bernoulli functions and derived a reciprocity relation for them. Recently, poly-Dedekind sums were introduced by replacing the first Bernoulli function appearing in Dedekind sums by any type 2 poly-Bernoulli functions of arbitrary indices and were shown to satisfy a reciprocity relation. In this paper, we consider other poly-Dedekind sums that are obtained by replacing the first Bernoulli function appearing in Dedekind sums by any poly-Bernoulli functions of arbitrary indices. We derive a reciprocity relation for these poly-Dedekind sums." @default.
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- W3110315216 date "2020-11-23" @default.
- W3110315216 modified "2023-10-01" @default.
- W3110315216 title "Poly-Dedekind sums associated with poly-Bernoulli functions" @default.
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- W3110315216 doi "https://doi.org/10.1186/s13660-020-02513-7" @default.
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