| 摘要: |
| 本文研究了二项指数和四次均值的计算问题.利用初等数论及代数数论的方法获得了一个精确的计算公式以及一个转换公式，推广了已有的结果，揭示了均值计算与同余方程组的本质联系. |
| 关键词: 二项指数和 混合均值 四次均值 转换公式 |
| DOI： |
| 分类号:O156.2 |
| 基金项目:Supported by National Natural Science Foundation of China (61502156); NSF Grants of Naval University of Engineering (HGDQNSQJJ15001); NSF Grants of Hubei Province (2014CFB189). |
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| AN EXPLICIT FORMULA FOR THE FOURTH MOMENT OF TWO-TERM EXPONENTIAL SUMS |
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AI Xiao-chuan1, CHEN Hua2, ZHANG Si-lan3
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1.Department of Applied Mathematics, School of Science, Naval University of Engineering, Wuhan 430033, China;2.School of Science, Hubei University of Technology, Wuhan 430068, China;3.College of Science, Huazhong Agricultural University, Wuhan 430070, China
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| Abstract: |
| The fourth power mean of two-term exponential sums is studied in this paper. By elementary and algebraic methods, an explicit computation formula and a transform formula are proposed, which extend the original research results and discover the essential relation between fourth moment and congruence equations. |
| Key words: two-term exponential sums mixed exponential mean fourth power mean transform formula |
