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On the Dedekind sums and two-term exponential sums

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Abstract

In this paper, the authors use the analytic methods and the properties of character sums mod p to study the computational problem of one kind of mean value involving the classical Dedekind sums and two-term exponential sums, and give an exact computational formula for it.

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Authors and Affiliations

  1. School of Mathematics, Northwest University, Xi’an, 710127, China

    Di Han

  2. College of Science, Northwest A&F University, Yangling, 712100, Shaanxi, China

    Tingting Wang

Authors
  1. Di Han
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  2. Tingting Wang
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Corresponding author

Correspondence to Di Han.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11371291, 11471258) and the Graduate Independent Innovation Fund of Northwest University(No.YZZ13071).

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Han, D., Wang, T. On the Dedekind sums and two-term exponential sums. Chin. Ann. Math. Ser. B 36, 603–612 (2015). https://doi.org/10.1007/s11401-015-0909-5

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  • DOI: https://doi.org/10.1007/s11401-015-0909-5

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