Csaba Sándor

activity

20172026

most citedOn generalized Stanley sequences

1 citations · 1 across the 14 of their papers we have counts for

collaborators

14 papers

math.NT2026

On Sárközy-Sós Theorem related to representation functions

Jin-Hui Fang, Sándor Z. Kiss, Wei Niu +1

Let $N_{0}$ be the set of all nonnegative integers. For a nonempty set $A \subseteq N_{0}$ and integers $n, h \geq 2$ , let $r_{h} (A, n)$ be the number…

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…

math.CO2024

Product representation of perfect cubes

Zsigmond György Fleiner, Márk Hunor Juhász, Blanka Kövér +2

Let $F_{k, d} (n)$ be the maximal size of a set $A \subseteq [n]$ such that the equation \[a_1a_2\dots a_k=x^d, \; a_1<a_2<\ldots<a_k\] has no solution with $a_1,a_2,\ldots,a_k\in {…

math.NT2024

Equal Sum and Product Problem III

Csaba Sándor, Maciej Zakarczemny

Denote by $N (n)$ the number of integer solutions $(x_{1}, x_{2}, \dots, x_{n})$ of the equation $x_{1} + x_{2} + \dots + x_{n} = x_{1} x_{2} \cdot \dots \cdot x_{n}$ such that $x_1\ge x_2\ge\ldots\ge x_n\ge…

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

Multiplicative complements II

Anett Kocsis, Dávid Matolcsi, Csaba Sándor +1

In this paper we prove that if $A$ and $B$ are infinite subsets of positive integers such that every positive integer $n$ can be written as $n = ab$ , $a \in A$ , $b \in B$ , then $\displ…