Csaba Sándor

collaborators

3 papers

math.NT2026

On SÃ¡rkÃ¶zy-SÃ³s Theorem related to representation functions

Jin-Hui Fang, SÃ¡ndor 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 SÃ¡ndor, 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.NT2024

Equal Sum and Product Problem III

Csaba SÃ¡ndor, 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…