Cui-Fang Sun

activity

20192022

most citedOn odd deficient-perfect numbers with four distinct prime divisors

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2022

Partitions of nonnegative integers with identical representation functions

Cui-Fang Sun, Hao Pan

Let $N$ be the set of all nonnegative integers. For any integer $r$ and $m$ , let $r + m N = {r + mk : k \in N}$ . For $S \subseteq N$ and $n\in \mathbb{N}…

math.NT2022

Partitions of finite nonnegative integer sets with identical representation functions

Cui-Fang Sun, Hao Pan

Let $N$ be the set of all nonnegative integers. For $S \subseteq N$ and $n \in N$ , let the representation function $R_{S} (n)$ denote the number of solution…

math.NT2020

On partitions of $Z_{m}$ with the same representation function

Cui-Fang Sun, Meng-Chi Xiong

For any positive integer $m$ , let $Z_{m}$ be the set of residue classes modulo $m$ . For $A \subseteq Z_{m}$ and $n \in Z_{m}$ , let $R_{A}(\overl…

math.NT2020

On a problem of partitions of $Z_{m}$ with the same representation functions

Cui-Fang Sun, Meng-Chi Xiong

For any positive integer $m$ , let $Z_{m}$ be the set of residue classes modulo $m$ . For $A \subseteq Z_{m}$ and $n \in Z_{m}$ , let representatio…

math.NT2019★ 1 cited

On odd deficient-perfect numbers with four distinct prime divisors

Cui-Fang Sun, Zhao-Cheng He

For a positive integer $n$ , let $σ (n)$ denote the sum of the positive divisors of $n$ . Let $d$ be a proper divisor of $n$ . We call $n$ a deficient-perfect number if $σ (n) = 2 n - d$ . In…