On the fourth power mean of the generalized quadratic Gauss sums
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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.
KeywordsThe generalized quadratic Gauss sums the fourth power mean analytic method computational formula
MR(2010) Subject Classification11L05 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.