正整数分拆中的特殊恒等式  

Some Special Identities about Partitions of Positive Integer

作　　者：庞荣波[1] 

机构地区：[1]聊城大学东昌学院,山东聊城252000

出　　处：《山西师范大学学报（自然科学版）》2009年第4期15-18,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10871116);山东省自然科学基金(Y2006A04)

摘　　要：针对正整数有限制的无序分拆,首先给出"将n分拆成m个最大数是k的分拆数"所具备的两个相关恒等式,然后又给出"当n是k的倍数时,将n分拆成k的次方之和的分拆数"所具有的几个恒等式,并在运用模型分析和母函数对这些恒等式进行分析证明的基础上,进一步举例加以验证.For positive integer split with restricted condition and unorder, first of all give ＂ n will be split into the number of m with the largest number of k ＂has the two related identities, and then given related several identities about ＂When n is a multiple of k, the n will be split into the separations of the power of k ＂. On the basis of analysis and proof these identities by applying to model analysis and generating function, further verify them by examples.

关 键 词：整数 分拆数 母函数 分拆恒等式 

分 类 号：O175.1[理学—数学]