Quan-Hui Yang

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20112026

h

-fold sumsets

9 citations · 10 across the 19 of their papers we have counts for

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4 papers · 1 filter

math.NT2017

Powerful numbers in $(1^{ℓ} + q^{ℓ}) (2^{ℓ} + q^{ℓ}) \dots (n^{ℓ} + q^{ℓ})$

Quan-Hui Yang, Qing-Qing Zhao

Let $q$ be a positive integer. Recently, Niu and Liu proved that if $n \geq max {q, 1198 - q}$ , then the product $(1^{3} + q^{3}) (2^{3} + q^{3}) \dots (n^{3} + q^{3})$ is not a powerful number. In this…

math.NT2017

On a conjecture of Erdős about sets without $k$ pairwise coprime integers

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

Let $Z^{+}$ be the set of positive integers. Let $C_{k}$ denote all subsets of $Z^{+}$ such that neither of them contains $k + 1$ pairwise coprime integers and $C…

math.NT2017

On some properties of representation functions 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.NT2017

On minimal additive complements of integers

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

Let $C, W \subseteq Z$ . If $C + W = Z$ , then the set $C$ is called an additive complement to $W$ in $Z$ . If no proper subset of $C$ is an additive complement t…

Powerful numbers in (1ℓ+qℓ)(2ℓ+qℓ)⋯(nℓ+qℓ)

On a conjecture of Erdős about sets without k pairwise coprime integers

On some properties of representation functions related to the Erdős-Turán conjecture

On minimal additive complements of integers

Powerful numbers in $(1^{ℓ} + q^{ℓ}) (2^{ℓ} + q^{ℓ}) \dots (n^{ℓ} + q^{ℓ})$

On a conjecture of Erdős about sets without $k$ pairwise coprime integers