Jin-Hui Fang

activity

20112026

most citedOn sets with sum and difference structure

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

On Sárközy-Sós Theorem related to representation functions

Jin-Hui Fang, Sándor Z. Kiss, Wei Niu +1

Let $N_{0}$ be the set of all nonnegative integers. For a nonempty set $A \subseteq N_{0}$ and integers $n, h \geq 2$ , let $r_{h} (A, n)$ be the number…

math.NT2023

Lagrange-like spectrum of perfect additive complements

Balázs Bárány, Jin-Hui Fang, Csaba Sándor

Two infinite sets $A$ and $B$ of non-negative integers are called \emph{perfect additive complements of non-negative integers}, if every non-negative integer can be uniquely expres…

math.NT2022

On function $S X$ of additive complements

Jin-Hui Fang, Csaba Sándor

Two sets $A, B$ of nonnegative integers are called \emph{additive complements}, if all sufficiently large integers can be expressed as the sum of two elements from $A$ and $B$ . We f…

math.NT2022

Additive completition of thin sets

Jin-Hui Fang, Csaba Sándor

Two sets $A, B$ of positive integers are called \emph{exact additive complements}, if $A + B$ contains all sufficiently large integers and $A (x) B (x) / x \to 1$ . Let $A=\{a_1<a_2<\…

math.NT2022

On disjoint sets

Jin-Hui Fang, Csaba Sándor

Two sets of nonnegative integers $A = {a_{1} < a_{2} < \dots}$ and $B = {b_{1} < b_{2} < \dots}$ are defined as \emph{disjoint}, if ${A - A} ⋂ {B - B} = {0}$ , namely, the equation $a_i+b_t=a…

math.NT2022★ 1 cited

On sets with sum and difference structure

Jin-Hui Fang, Csaba Sándor

For nonempty sets $A, B$ of nonnegative integers and an integer $n$ , let $r_{A, B} (n)$ be the number of representations of $n$ as $a + b$ and $d_{A, B} (n)$ be the number of representati…

math.NT2011★ 1 cited

On a problem of Sierpinski

Jin-Hui Fang, Yong-Gao Chen

Let $s \geq 2$ be an integer. Denote by $μ_{s}$ the least integer so that every integer $ℓ > μ_{s}$ is the sum of exactly $s$ integers $> 1$ which are pairwise relatively prime. In 196…

On Sárközy-Sós Theorem related to representation functions

Lagrange-like spectrum of perfect additive complements

On function SX of additive complements

Additive completition of thin sets

On disjoint sets

On sets with sum and difference structure

On a problem of Sierpinski

On function $S X$ of additive complements