给出了正整数n分拆成若干个公差为2m(m为正整数)的奇数(或偶数)之和的充要条件及其分拆种数,并对其进行了应用。
This paper presents the necessary and sufficient condition and the partition number of positive integer n which can be represented as a sum of some odd parts ( or even parts) ,and the tolerance of two near parts is 2m. Finally,it gives the application of the conclusions.