| 陈－Mobius变换与Mobius函数的Kroneckerδ函数展开 |
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| 引用本文： | 谢谦,黄美纯.陈－Mobius变换与Mobius函数的Kroneckerδ函数展开[J].厦门大学学报(自然科学版),1994(5). |
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| 作者姓名： | 谢谦 黄美纯 |
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| 摘 要： | 给出Ｍｏｂｉｕｓ函数的Ｋｒｏｎｅｃｋｅｒδ函数展开式．由此用组合论证明了陈－Ｍｏｂｉｕｓ反演变换．根据Ｋｒｏｎｅｃｋｅｒδ函数展开式，将Ｍｏｂｉｕｓ函数推广到任意幺半群的情况并给出相应的反演公式．
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| 关 键 词： | 陈－Mobius变换，Mobius函数，Kroneckerδ函数 |
Chen-Mbius Transform and Kronecker Delta Expansion for Mbius Function |
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| Xie Qian, Huang Meichun.Chen-Mbius Transform and Kronecker Delta Expansion for Mbius Function[J].Journal of Xiamen University(Natural Science),1994(5). |
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| Authors: | Xie Qian Huang Meichun |
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| Institution: | Dept. of Phys. |
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| Abstract: | An expansion of kronecker delta function for the Mbius function is pre-sented.The Chen-Mbius inversion theorem is derived through the Kronecker delta expan-sion by virtue of combinatorial theory. According to the expansion formula,the Mbius func-tion is generalized to the case of a unitary semigroup and the respective inversion formula is given. |
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| Keywords: | Chen-Mbius inversion theorem Mbius function kronecker delta function |
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