DU Xian-cun, Xiaoxue Li
Abstract
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The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of a new sum analogous to quadratic Gauss sums, and to give an interesting asymptotic formula for its 2 k th power mean. MSC: 11L03, 11L05.
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The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of a new sum analogous to quadratic Gauss sums, and to give an interesting asymptotic formula for its 2 k th power mean. MSC: 11L03, 11L05.
Key concepts: Quadratic Gauss sum, Mathematics, Gauss sum, Gauss, Quadratic equation, Sums of powers, Power (physics), Applied mathematics