Papers
On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions
- AuthorSu Hu (Daeyeoul Kim, Min-Soo Kim)
- JournalJournal of Number Theory 162 (2016
- Link https://doi.org/10.1016/j.jnt.2015.10.022
- Classification of papersSCI
The Apostol–Dedekind sum with quasi-periodic Euler functions is an analogue of Apostol's definition of the generalized Dedekind sum with periodic Bernoulli functions. In this paper, using the Boole summation formula, we shall obtain the reciprocity formula for this sum.
The Apostol–Dedekind sum with quasi-periodic Euler functions is an analogue of Apostol's definition of the generalized Dedekind sum with periodic Bernoulli functions. In this paper, using the Boole summation formula, we shall obtain the reciprocity formula for this sum.