| 连续自然数等幂和公式的改进 |
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| 引用本文： | 王兴标,祝成虎. 连续自然数等幂和公式的改进[J]. 广州航海高等专科学校学报, 2005, 13(2): 44-46 |
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| 作者姓名： | 王兴标 祝成虎 |
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| 作者单位： | 浙江省义乌市上溪镇中学,浙江,义乌,322006;广州航海高等专科学校,基础部,广东,广州,510725 |
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| 摘 要： | 利用比较系数法,改进了传统的连续自然数等幂和的计算公式,得到了3组具体的计算公式,提出了4个猜想.
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| 关 键 词： | 等幂和 比较系数法 数论 对称 |
| 文章编号： | 1009-8526(2005)02-0044-03 |
| 收稿时间： | 2005-10-08 |
| 修稿时间： | 2005-10-08 |
IMPROVEMENT TO THE FORMULA OF THE POWER SUM |
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| WANG Xing-biao,ZHU Cheng-hu. IMPROVEMENT TO THE FORMULA OF THE POWER SUM[J]. Journal of Guangzhou Maritime College, 2005, 13(2): 44-46 |
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| Authors: | WANG Xing-biao ZHU Cheng-hu |
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| Affiliation: | 1. Shangxi Middle School, Yiwu 322006, China; 2.Division of Basic Science, Guangzhou Maritime College, Guangzhou 510725, China |
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| Abstract: | With the method of coefficients comparison,this paper makes improvement to a classic formula on power sum of successive natural numbers,educes three groups of calculating formulas on the coefficients of the power sum,and puts forward four conjectures. |
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| Keywords: | power sum method of coefficients comparison number theory symmetry |
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