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

A study on a type of degenerate poly-Dedekind sums

  • General Mathematics

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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