| 两个新的正整数分拆恒等式 |
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| 引用本文： | 毕晓芳,燕子宗,赵天玉.两个新的正整数分拆恒等式[J].长江大学学报,2008,5(1). |
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| 作者姓名： | 毕晓芳 燕子宗 赵天玉 |
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| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023;长江大学信息与数学学院,湖北,荆州,434023;长江大学信息与数学学院,湖北,荆州,434023 |
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| 摘 要： | 正整数的分拆与许多计数问题有着密切的关系,并且关于正整数的分拆产生了许多重要的恒等式,但很多正整数的分拆恒等式常以有序分拆或无序分拆单方面讨论。将正整数的有序分拆和无序分拆联系起来,给出了两个新的与正整数的有序分拆和无序分拆相关的恒等式,并利用组合方法给出了证明。
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| 关 键 词： | 正整数 分拆恒等式 有序分拆 无序分拆 Ferrers图 |
Two new positive integer partition identities |
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| BI Xiao-fang,YAN Zi-zong,ZHAO Tian-yu.Two new positive integer partition identities[J].Journal of Yangtze University,2008,5(1). |
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| Authors: | BI Xiao-fang YAN Zi-zong ZHAO Tian-yu |
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| Abstract: | The positive integer partition has close relation with many enumeration problems,and has many important identities on the partition,but many positive integer partition identities are often discussed unilaterally from ordered partition or unordered partition.In this paper,ordered partition is linked with unordered partition,by using combination method,two new positive integer partition identities are obtained which are related to both of the two partitions. |
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| Keywords: | partition identity ordered partition unordered partition Ferrers graph |
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