多项式的特征和与二项指数和的混合均值

祁兰, 陈卓钰

数学学报 ›› 2020, Vol. 63 ›› Issue (4) : 397-402.

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数学学报 ›› 2020, Vol. 63 ›› Issue (4) : 397-402. DOI: 10.12386/A2020sxxb0033
论文

多项式的特征和与二项指数和的混合均值

    祁兰1, 陈卓钰2
作者信息 +

The Hybrid Power Mean of Character Sums of Polynomials and Two-term Exponential Sums

    Lan QI1, Zhuo Yu CHEN2
Author information +
文章历史 +

摘要

本文主要利用解析方法以及二项指数和与Dirichlet特征的性质,研究多项式的特征和与二项三次指数和的混合均值的计算问题,并得到一个较强的渐近公式.

Abstract

In this paper, we discuss the computational problem of a hybrid power mean involving character sums of polynomials and two-term cubic exponential sums, by using analytic methods and the properties of two-term exponential sums and Dirichlet characters. Meanwhile, we obtain a sharp asymptotic formula.

关键词

多项式特征和 / 二项指数和 / 混合方幂均值 / 渐近公式

Key words

character sums of polynomials / two-term exponential sums / hybrid power mean / asymptotic formula

引用本文

导出引用
祁兰, 陈卓钰. 多项式的特征和与二项指数和的混合均值. 数学学报, 2020, 63(4): 397-402 https://doi.org/10.12386/A2020sxxb0033
Lan QI, Zhuo Yu CHEN. The Hybrid Power Mean of Character Sums of Polynomials and Two-term Exponential Sums. Acta Mathematica Sinica, Chinese Series, 2020, 63(4): 397-402 https://doi.org/10.12386/A2020sxxb0033

参考文献

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[10] Zhang H., Zhang W. P., The fourth power mean of two-term exponential sums and its application, Mathematical Reports, 2017, 19:75-81.
[11] Zhang W. P., Yao W. L., A note on the Dirichlet characters of polynomials, Acta Arith., 2004, 115:225-229.
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基金

国家自然科学基金资助项目(11771351,11826203,11826205)

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