| 关于广义三项指数和的四次均值 |
| |
| 引用本文： | 刘华宁,李万梅.关于广义三项指数和的四次均值[J].数学研究及应用,2017,37(2):169-182. |
| |
| 作者姓名： | 刘华宁 李万梅 |
| |
| 作者单位： | 西北大学数学学院, 陕西 西安 710127,西北大学数学学院, 陕西 西安 710127 |
| |
| 基金项目： | 国家自然科学基金 (Grant No.11571277), 陕西省自然科学计划项目 (Grant Nos.2014JM1007; 2014KJXX-61; 2016GY-080; 2016GY-077). |
| |
| 摘 要： | 本文利用三角和等式以及既约剩余系的性质, 研究了广义三项指数和的四次均值的计算问题, 并给出了特定情形下的一些等式.
|
| 关 键 词： | 广义三项指数和 等式 四次均值公式 |
| 收稿时间： | 2015/10/4 0:00:00 |
| 修稿时间： | 2016/11/23 0:00:00 |
On the Fourth Power Mean of Generalized Three-Term Exponential Sums |
| |
| Huaning LIU and Wanmei LI.On the Fourth Power Mean of Generalized Three-Term Exponential Sums[J].Journal of Mathematical Research with Applications,2017,37(2):169-182. |
| |
| Authors: | Huaning LIU and Wanmei LI |
| |
| Institution: | School of Mathematics, Northwest University, Shaanxi 710127, P. R. China and School of Mathematics, Northwest University, Shaanxi 710127, P. R. China |
| |
| Abstract: | The computational problem of fourth power mean of generalized three-term exponential sums is studied by using the trigonometric identity and the properties of the reduced residue system. Some explicit formulas for the fourth power mean of generalized three-term exponential sums under different conditions are given. |
| |
| Keywords: | generalized three-term exponential sum identity fourth power mean formula |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
