三次Gauss和及二项指数和的混合均值

吕星星

数学学报 ›› 2019, Vol. 62 ›› Issue (2) : 225-232.

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PDF(389 KB)
数学学报 ›› 2019, Vol. 62 ›› Issue (2) : 225-232. DOI: 10.12386/A2019sxxb0020
论文

三次Gauss和及二项指数和的混合均值

    吕星星
作者信息 +

On the Hybrid Power Mean of Three-th Gauss Sums and Two-term Exponential Sums

    Xing Xing LV
Author information +
文章历史 +

摘要

我们用三角和的性质研究一类三次Gauss和与两项指数和混合均值的计算问题,并给出一个精确的计算公式.

Abstract

The main purpose of this paper is using the analytic method and the properties of classical Gauss sums and trigonometric sums to study the computational problem of one kind hybrid power mean of two different Gauss sums, and give an exact computational formula for it.

关键词

三次Gauss和 / 二项指数和 / 混合均值 / 解析方法 / 计算公式

Key words

three-th Gauss sums / two-term exponential sums / hybrid power mean / analytic method / computational formula

引用本文

导出引用
吕星星. 三次Gauss和及二项指数和的混合均值. 数学学报, 2019, 62(2): 225-232 https://doi.org/10.12386/A2019sxxb0020
Xing Xing LV. On the Hybrid Power Mean of Three-th Gauss Sums and Two-term Exponential Sums. Acta Mathematica Sinica, Chinese Series, 2019, 62(2): 225-232 https://doi.org/10.12386/A2019sxxb0020

参考文献

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基金

国家自然科学基金资助项目(11771351)

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