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The fourth power mean of the general 2-dimensional Kloostermann sums mod p

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Abstract

The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of the general 2-dimensional Kloostermann sums mod p, and give an exact computational formula for it.

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Acknowledgements

The authors would like to thank the referee for his very helpful and detailed comments, which have significantly improved the presentation of this paper.

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Authors and Affiliations

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

    Wen Peng Zhang & Xiao Xue Li

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  1. Wen Peng Zhang
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  2. Xiao Xue Li
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Correspondence to Xiao Xue Li.

Additional information

Supported by NSFC (Grant No. 11371291) and GICF of Northwest University (Grant No. YZZ15009)

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Zhang, W.P., Li, X.X. The fourth power mean of the general 2-dimensional Kloostermann sums mod p . Acta. Math. Sin.-English Ser. 33, 861–867 (2017). https://doi.org/10.1007/s10114-016-6347-9

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  • DOI: https://doi.org/10.1007/s10114-016-6347-9

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