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    • On the General Dedekind Sums and its Reciprocity Formula

      Yuan Yi

      Volume 120 Issue 1 February 2010 pp 1-6

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/01/0001-0006

    • Keywords

       

      General Dedekind sums; Fourier expansion; Bernoulli polynomial; reciprocity formula.

    • Abstract

       

      In this paper, we prove an interesting reciprocity formula for a certain case of a general Dedekind sums using analytic methods and the Fourier expansion of the Bernoulli polynomials.

    • Author Affiliations

       

      Yuan Yi1

      1. Research Center for Basic Science, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, People’s Republic of China

    • Dates

       
      Published
      February 2010
      Manuscript received
      28 April 2009
      Manuscript revised
      3 July 2009

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