JUN-YU Zhou

collaborators

3 papers

math.NT2021

Note on a problem of Nathanson related to the $φ$ -Sidon set

Csaba Sándor, Quan-Hui Yang, Jun-Yu Zhou

Let $φ (x_{1}, \dots, x_{h}) = c_{1} x_{1} + \dots + c_{h} x_{h}$ be a linear form with coefficients in a field $F$ , and let $V$ be a vector space over $F$ . A nonempty…

math.NT2021

On the integer sets with the same representation functions

Kai-Jie Jiao, Csaba Sándor, Quan-Hui Yang +1

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 $n = s_{1} + s_{2}$ ,…

math.NT2020

On the structure of the $h$ -fold sumsets

Jun-Yu Zhou, Quan-Hui Yang

Let~ $A$ be a set of nonnegative integers. Let~ $(h A)^{(t)}$ be the set of all integers in the sumset~ $h A$ that have at least~ $t$ representations as a sum of~ $h$ elements of~ $A$ . In…

Note on a problem of Nathanson related to the φ-Sidon set

On the integer sets with the same representation functions

On the structure of the h-fold sumsets

Note on a problem of Nathanson related to the $φ$ -Sidon set

On the structure of the $h$ -fold sumsets