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Some Applications of L-Functions to the Mean Value of the Dedekind Sums and Cochrane Sums

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Number Theory

Part of the book series: Developments in Mathematics ((DEVM,volume 15))

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Abstract

In this paper, the applications of L- functions to the mean value of Dedekind sums and Cochrane sums are described, and a few asymptotic formulae are presented.

This work is supported by the N.S.F. (10271093, 60472068) of P.R.China

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Author information

Authors and Affiliations

  1. Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R.China

    Zhang Wenpeng

Authors
  1. Zhang Wenpeng
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Editor information

Editors and Affiliations

  1. Northwest University, Xi’an, P.R. China

    Wenpeng Zhang

  2. Nagoya University, Nagoya, Japan

    Yoshio Tanigawa

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© 2006 Springer Science + Business Media, Inc.

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Wenpeng, Z. (2006). Some Applications of L-Functions to the Mean Value of the Dedekind Sums and Cochrane Sums. In: Zhang, W., Tanigawa, Y. (eds) Number Theory. Developments in Mathematics, vol 15. Springer, Boston, MA. https://doi.org/10.1007/0-387-30829-6_16

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