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On the fourth power mean of the generalized quadratic Gauss sums

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Abstract

The main purpose of this paper is to use elementary methods and properties of the classical Gauss sums to study the computational problem of one kind of fourth power mean of the generalized quadratic Gauss sums mod q (a positive odd number), and give an exact computational formula for it.

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Acknowledgements

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

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Correspondence to Wen Peng Zhang.

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Supported by the NSF of China (Grant No. 11771351)

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Zhang, W.P., Lin, X. On the fourth power mean of the generalized quadratic Gauss sums. Acta. Math. Sin.-English Ser. 34, 1037–1049 (2018). https://doi.org/10.1007/s10114-017-7188-x

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  • DOI: https://doi.org/10.1007/s10114-017-7188-x

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