| 两项指数和及两项特征和的混合均值 |
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| 引用本文： | 杜晓英.两项指数和及两项特征和的混合均值[J].数学学报,2016,59(3):309-316. |
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| 作者姓名： | 杜晓英 |
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| 作者单位： | 晋中学院数学学院 晋中 030619 |
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| 基金项目： | 国家自然科学基金资助项目(11371291);陕西省自然科学基金资助项目(2014JM1009) |
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| 摘 要： | 利用解析方法以及高斯和的性质研究一类二项指数和及二项特征和的混合均值问题,并给出一个精确的表示式.作为应用,给出该和式的一个渐近公式以及该和式与Dirichlet L-函数加权均值的一个较强的渐近公式.
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| 关 键 词： | 二项指数和 二项特征和 混合均值 渐近公式 解析方法 |
The Hybrid Power Mean of Two-Term Exponential Sums and Character Sums |
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| Xiao Ying DU.The Hybrid Power Mean of Two-Term Exponential Sums and Character Sums[J].Acta Mathematica Sinica,2016,59(3):309-316. |
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| Authors: | Xiao Ying DU |
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| Institution: | School of Mathematics, Jinzhong University, Jinzhong 030619, P. R. China |
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| Abstract: | The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid power mean of two-term exponential sums and two-term character sums,and give an exact expression for it.As its applications,we obtained an asymptotic formula for the hybrid power mean and a sharp asymptotic formula for the mean value of Dirichlet L-functions weighted by the two-term exponential sums and two-term character sums. |
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| Keywords: | two-term exponential sums two-term character sums hybrid power mean asymptotic formula analytic method |
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