Shimeng Shen, Wenpeng Zhang
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.
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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.
Key concepts: Quadratic Gauss sum, Gauss sum, Gauss, Mathematics, Quadratic equation, Character (mathematics), Sums of powers, Applied mathematics