Quan-Hui Yang

activity

20172026

most citedOn generalized Stanley sequences

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2026 · math.NTShow all

3 papers · 2 filters

math.NT2026

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

Shi-Qiang Chen, Quan-Hui Yang

Let $h \geq 3$ be an integer and $0 < α < 1/ h$ . In this paper, we prove that there exists a minimal asymptotic basis of order $h$ with asymptotic density $α$ . This solves an open proble…

math.NT2026

On the size of $h$ -fold sumsets

Shi-Qiang Chen, Quan-Hui Yang

Let $h$ be a positive integer, and let $A$ be a finite set of integers. We derive an exact formula for $∣ h A ∣$ . Furthermore, let $A = {0, 1, \dots, s, a, b}$ , $1 \leq s < a < b$ , and write $…

math.NT2026

On the Monotonicity of Higher-Fold Representation Functions

Csaba Sándor, Quan-Hui Yang

For a positive integer $h$ , let $R_{A, h} (n)$ denote the number of ordered representations $n = s_{1} + \dots + s_{h}$ with all $s_{i} \in A$ . Let \[ B=\{0\}\cup\{m\ge 1:\text{ the base-4 expan…

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

On the size of h-fold sumsets

On the Monotonicity of Higher-Fold Representation Functions

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

On the size of $h$ -fold sumsets