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논문

On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions

https://doi.org/10.1016/j.jnt.2015.10.022

  • 저자Su Hu (Daeyeoul Kim, Min-Soo Kim)
  • 학술지Journal of Number Theory 162
  • 등재유형
  • 게재일자(2016)


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.

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