| 算术数列中的素变数指数和问题 |
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| 引用本文： | 刘华珂,王天芹.算术数列中的素变数指数和问题[J].纯粹数学与应用数学,2020(1):31-42. |
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| 作者姓名： | 刘华珂 王天芹 |
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| 作者单位： | 华北水利水电大学数学学院;华北水利水电大学信息工程学院 |
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| 基金项目： | 国家自然科学基金(11471112). |
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| 摘 要： | 旨在应用初等方法研究指数和问题,给出了算术数列中素变数非线性指数和的一个上界估计.
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| 关 键 词： | 指数和 算术数列 圆法 |
Exponential sums over primes in arithmetic progressions |
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| Liu Huake,Wang Tianqin.Exponential sums over primes in arithmetic progressions[J].Pure and Applied Mathematics,2020(1):31-42. |
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| Authors: | Liu Huake Wang Tianqin |
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| Institution: | (Department of Mathematics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China;Department of of Information Engineering,North China University of Water Resources and Electric Power,Zhengzhou 450046,China) |
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| Abstract: | This paper uses elementary method to study the problem of exponential sums,and gives an estimate for non-linear exponential sums over primes in arithmetic progressions,which could be useful in most numerical problems whenever the Circle Method is applied. |
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| Keywords: | exponential sums arithmetic progressions circle method |
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