正整数分拆成公差为偶数的等差分拆(英文)  

Integer Partitions into Arithmetic Progressionswith an Even Common Difference

作　　者：郭育红[1] 

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000

出　　处：《西南大学学报（自然科学版）》2012年第8期98-103,共6页Journal of Southwest University(Natural Science Edition)

基　　金：甘肃省高等学校研究生导师科研项目(200809-04);河西学院校长基金项目(XZ2011-01)

摘　　要：讨论了将正整数n分拆成连续奇数或者连续偶数的分拆,给出了这类分拆数与正整数n的满足一定条件的因数个数之间的关系,并将这些结论作了推广,得到了正整数n分拆成公差为偶数的等差分拆数的结果.The goal of this paper is to treat the case of partitions of positive integer n into consecutive odd parts or even parts.It gives the relation between the number of such partitions and the number of divisors of natural number n satisfying some conditions.Further,these results are generalized by determining the number of partitions of natural number n into arithmetic progressions with an even common difference.

关 键 词：分拆 奇分部量 偶分部量 等差级数 偶公差 

分 类 号：O157[理学—数学]