Quan-Hui Yang

activity

20142023

h

-fold sumsets

9 citations · 9 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2023

Representation functions in the set of natural numbers

Shi-Qiang Chen, Csaba Sándor, Quan-Hui Yang

Let $N$ be the set of all nonnegative integers. For $S \subseteq N$ and $n \in N$ , let $R_{S} (n)$ denote the number of solutions of the equation $n = s + s^{'}$ , $s…

math.NT2023

On monotone increasing representation functions

Sándor Z. Kiss, Csaba Sándor, Quan-Hui Yang

Let $k \geq 2$ be an integer and let $A$ be a set of nonnegative integers. The representation function $R_{A, k} (n)$ for the set $A$ is the number of representations of a nonnegative…

math.NT2023

On a problem of Nathanson related to minimal asymptotic bases of order $h$

Shi-Qiang Chen, Csaba Sándor, Quan-Hui Yang

For integer $h \geq 2$ and $A \subseteq N$ , we define $h A$ to be all integers which can be written as a sum of $h$ elements of $A$ . The set $A$ is called an asymptotic basis o…

math.NT2016

A lower bound of Ruzsa's number related to the Erdős-Turán conjecture

Csaba Sándor, Quan-Hui Yang

For a set $A \subseteq N$ and $n \in N$ , let $R_{A} (n)$ denote the number of ordered pairs $(a, a^{'}) \in A \times A$ such that $a + a^{'} = n$ . The celebrated Erdős-Turán conjec…

math.NT2014★ 9 cited

On the cardinality of general $h$ -fold sumsets

Quan-Hui Yang, Yong-Gao Chen

Let $A = {a_{0}, a_{1}, \dots, a_{k - 1}}$ be a set of $k$ integers. For any integer $h \geq 1$ and any ordered $k$ -tuple of positive integers $r = (r_{0}, r_{1}, \dots, r_{k - 1})$ , we defin…

Representation functions in the set of natural numbers

On monotone increasing representation functions

On a problem of Nathanson related to minimal asymptotic bases of order h

A lower bound of Ruzsa's number related to the Erdős-Turán conjecture

On the cardinality of general h-fold sumsets

On a problem of Nathanson related to minimal asymptotic bases of order $h$

On the cardinality of general $h$ -fold sumsets