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A mean value of Cochrane sum

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Publication:1034244
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DOI10.1007/S10114-008-7188-YzbMath1215.11078OpenAlexW2113867969MaRDI QIDQ1034244

Zhefeng Xu

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-7188-y


zbMATH Keywords

Dedekind sumCochrane sums


Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Sums over arbitrary intervals (11L26)


Related Items (2)

Simultaneous optimal estimation in linear mixed models ⋮ A hybrid mean value related to the Dedekind sums and Kloosterman sums




Cites Work

  • Unnamed Item
  • On the mean values of Dedekind sums
  • A note on the Cochrane sum and its hybrid mean value formula.
  • A problem of D. H. Lehmer and its mean square value formula.
  • On a sum analogous to Dedekind sum and its mean square value formula
  • Mean values of Dedekind sums
  • On the order of the high-dimensional Cochrane sum and its mean value
  • Some theorems on generalized Dedekind sums
  • On Kronecker's limit formula for Dirichlet series with periodic coefficients
  • A note on the mean square value of the Dedekind sums
  • On a Cochrane sum and its hybrid mean value formula.




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