| 表整数为八个三角数的表法数目 |
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| 引用本文： | 林甲富.表整数为八个三角数的表法数目[J].数学季刊,2000,15(4):66-68. |
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| 作者姓名： | 林甲富 |
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| 作者单位： | 中国科学院系统科学研究所!北京100080 |
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| 摘 要： | 通过留数定理把一个无究乘积展成Laurent级数，利用这个展式可以简单地证明表整数为八个三角数的表法数目公式。
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| 关 键 词： | 无穷乘积 留数定理 Laurent级数 三角数 整数 |
The Number of Representations of an Integer as a Sum of Eight Triangular Numbers |
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| LIN Jia-fu.The Number of Representations of an Integer as a Sum of Eight Triangular Numbers[J].Chinese Quarterly Journal of Mathematics,2000,15(4):66-68. |
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| Authors: | LIN Jia-fu |
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| Abstract: | An infinite product is expanded to Laurent series by residue theorem.Applying this expansion, the formula for the number of representations of an integer as a sum of eight triangular numbers is easily obtained. |
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| Keywords: | infinite product residue theorem Laurent series triangular number |
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