Csaba Sándor

activity

20162021

collaborators

Showing 2017Show all

4 papers · 1 filter

math.NT2017

On infinite multiplicative Sidon sets

Péter Pál Pach, Csaba Sándor

We prove that if $A$ is an infinite multiplicative Sidon set, then $n \to \infty lim inf \frac{∣ A ( n ) ∣ - π ( n )}{\frac{n ^{3/4}}{( l o g n ) ^{3}}} < \infty$ and construct an infinite mul…

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…

On infinite multiplicative Sidon sets

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

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