Acta Mathematica Sinica, English Series

, Volume 34, Issue 6, pp 1037–1049 | Cite as

On the fourth power mean of the generalized quadratic Gauss sums



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.


The generalized quadratic Gauss sums the fourth power mean analytic method computational formula 

MR(2010) Subject Classification

11L05 11L07 


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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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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsNorthwest UniversityXi’anP. R. China

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