ON PARTITIONS INTO FIGURATE NUMBERS AND COMPOSITIONS OF MULTIPARTITE NUMBERS

被引：0

作者：

Agustin Moreno, C. ^{[1
]}

Irlande, Alexis ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, Bogota, Colombia

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2010年 / 17卷 / 02期

关键词：

composition; graph; octahedral number; partition; P-partition; polygonal number; path; poset;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use some P-partitions and the ordinary graph induced by the covering relation of the poset P in order to obtain formulas for the number of some restricted partitions of an ordered r-tuple of positive integers into vectors whose coordinates are polygonal numbers of a given shape. In particular, we find formulas for the number of partitions of a positive integer into three octahedral numbers.

引用

页码：173 / 208

页数：36

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