摘要
给定正整数N,如果d/N且(d,N/d)=1,则称d为N的unitary因子.设κ≥2为整数,σ*(N)表示N的所有unitary因子的和.若σ*(N)=kN,则称N为k重unitary完全数.本文给出了κ重unitary完全数的一些性质.
For a positive integer N, we call d a unitary divisor of N ifd I N and (d, N /d) =1. Let k ≥ 2 be an integer, and let σ*(N) denote the sum of the unitary divisors of N. We call N a unitary k-perfect number if σ* (N) = kN. In this paper, we give some necessary properties of them.
出处
《数学进展》
CSCD
北大核心
2016年第2期190-194,共5页
Advances in Mathematics(China)
基金
supported by NSFC(No.11471017,No.11371195)