| Citation: | QIAO Shenyuan, LIANG Yikong. A New Method of Power Sum for Natural Numbers[J]. Journal of Shanghai University of Engineering Science, 2020, 34(4): 392-396.
|
| [1] |
H·德里. 100个著名初等数学问题: 历史和解答[M]. 上海: 上海科学技术出版社, 1982.
|
| [2] |
杨志强. 用逐差法求解自然数方幂之和[J] . 数学的实践与认识,2003,33(11):136 − 137. doi: 10.3969/j.issn.1000-0984.2003.11.026
|
| [3] |
沈明鸣. 关于自然数K次幂和的讨论[J] . 宁波高等专科学校学报,2003,15(4):12 − 15.
|
| [4] |
朱伟义. 有关自然数方幂和公式系数的一个新的递推公式[J] . 数学的实践与认识,2004,34(10):170 − 173. doi: 10.3969/j.issn.1000-0984.2004.10.030
|
| [5] |
陈景润. 组合数学[M]. 哈尔滨: 哈尔滨工业大学出版社, 2012.
|
| [6] |
朴元俊, 廉晓龙. 自然数方幂和公式的一种新推法[J] . 自然科学版,2014,40(2):114 − 116.
|
| [7] |
陈仲. 高等数学竞赛题解析教程(2018)[M]. 南京: 东南大学出版社, 2017.
|
| [8] |
华东师范大学数学系. 数学分析[M]. 4版. 北京: 高等教育出版社, 2010.
|
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