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Mathematics 2019, 7(3), 258; https://doi.org/10.3390/math7030258

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

School of Mathematics, Northwest University, Xi’an 710127, China
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Received: 15 January 2019 / Revised: 8 March 2019 / Accepted: 11 March 2019 / Published: 12 March 2019
(This article belongs to the Special Issue Special Functions and Applications)
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Abstract

In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it. View Full-Text
Keywords: the generalized quadratic Gauss sums; the fourth power mean; analytic method; computational formula the generalized quadratic Gauss sums; the fourth power mean; analytic method; computational formula
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Shen, S.; Zhang, W. The Generalized Quadratic Gauss Sum and Its Fourth Power Mean. Mathematics 2019, 7, 258.

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