Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE MEAN VALUES OF THE HOMOGENEOUS DEDEKIND SUMS AND COCHRANE SUMS IN SHORT INTERVALS

  • Liu, Huaning (DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY)
  • Published : 2007.11.30
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Abstract

In this paper, we study the mean values of the homogeneous Dedekind sums and Cochrane sums in short intervals $[1,\;\frac{p}{3}]\;and\;[1,\;\frac{p}{4}]$, and give some asymptotic formulae by using the mean values of the Dirichlet L-functions.

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References

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Cited by

  1. MEAN VALUES OF THE HOMOGENEOUS DEDEKIND SUMS vol.23, pp.4, 2015, https://doi.org/10.11568/kjm.2015.23.4.571