Poly-Dedekind sums associated with poly-Bernoulli functions
Poly-Dedekind sums associated with poly-Bernoulli functions
复制标题
DOI：
10.1186/s13660-020-02513-7
复制
发表时间：
2020-11
影响因子：
1.6
通讯作者：
Yuankui Ma;Dae San Kim;Hyunseok Lee;Taekyun Kim
中科院分区：
文献类型：
--
作者：
Yuankui Ma;Dae San Kim;Hyunseok Lee;Taekyun Kim
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.
