On the Hybrid Power Mean Involving the Two-Term Exponential Sums and Polynomial Character Sums

Citation:

Xingxing LV,Xiaoxue LI.On the Hybrid Power Mean Involving the Two-Term Exponential Sums and Polynomial Character Sums[J].Chinese Annals of Mathematics B,2020,41(4):547~588
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Authors:

Xingxing LV; Xiaoxue LI

Foundation:

This work was supported by the National Natural Science Foundation of China (No. 11771351) and the Natural Science Basic Research Plan in Shaanxi Province (No. 2018JQ1093).
Abstract: The main purpose of this paper is using the analytic method and the properties of trigonometric sums and character sums to study the computational problem of one kind hybrid power mean involving two-term exponential sums and polynomial character sums. Then the authors give some interesting calculating formulae for them.

Keywords:

The two-term exponential sums, Kloosterman sums, Dirichlet character of polynomials, Hybrid power mean, Identity

Classification:

11L03, 11L05
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