指数和与特征和的混合均值

冀永强, 张文鹏

数学学报 ›› 2018, Vol. 61 ›› Issue (5) : 777-782.

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数学学报 ›› 2018, Vol. 61 ›› Issue (5) : 777-782. DOI: 10.12386/A2018sxxb0072
论文

指数和与特征和的混合均值

    冀永强1, 张文鹏2
作者信息 +

On the Hybrid Power mean of the Exponential Sums and Character Sums

    Yong Qiang JI1, Wen Peng ZHANG2
Author information +
文章历史 +

摘要

本文利用三角和估计及其特征和的性质研究一类二项指数和与多项式特征和的混合均值的计算问题,并给出两个有趣的计算公式.

Abstract

The main purpose of this paper is using the estimate for trigonometric sums and the properties of character sums to study the computational problem of one kind hybrid power mean involving the two-term exponential sums and polynomial character sums, and give two interesting computational formulae for it.

关键词

二项指数和 / Kloosterman和 / 多项式的特征和 / 混合均值 / 恒等式

Key words

two-term exponential sums / Kloosterman sums / dirichlet character of polynomials / hybrid power mean / identity

引用本文

导出引用
冀永强, 张文鹏. 指数和与特征和的混合均值. 数学学报, 2018, 61(5): 777-782 https://doi.org/10.12386/A2018sxxb0072
Yong Qiang JI, Wen Peng ZHANG. On the Hybrid Power mean of the Exponential Sums and Character Sums. Acta Mathematica Sinica, Chinese Series, 2018, 61(5): 777-782 https://doi.org/10.12386/A2018sxxb0072

参考文献

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[7] Xu Z. F., Zhang T. P., Zhang W. P., On the mean value of the two-term exponential sums with Dirichlet characters, J. Number Theory, 2007, 123:352-362.
[8] Zhang T. P., On mixed two-term exponential sums, J. Korean Math. Soc., 2010, 47:1107-1122.
[9] Zhang W. P., On the number of the solutions of one kind congruence equation mod p, J. Northwest Univ. (Natural Science Edition), 2016, 46:313-316.
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基金

国家自然科学基金资助项目(11771351)

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