S'andor Z. Kiss

collaborators

4 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

The minimal width of universal $p$ -adic ReLU neural networks

Sándor Z. Kiss, Ambrus Pál

We determine the minimal width of $p$ -adic neural networks with the universal approximation property for continuous $Q_{p}$ -valued functions on compact open subsets with resp…

math.NT2026

On the Diophantine Equation Involving Elementary Symmetric Polynomials and the Decomposition of Unity

Sándor Z. Kiss, Csaba Sándor, Maciej Zakarczemny

We consider the equality of the values of the $n$ th and $k$ th elementary symmetric polynomials of $n$ not necessarily distinct positive integers. For $k < n$ , we prove that this eq…

math.NT2025

Identical representation functions of linear forms

Sándor Kiss, Csaba Sándor

For a set of natural numbers $A$ , let $R_{A} (n)$ be the number of representations of a natural number $n$ as the sum of two terms from $A$ . Many years ago, Nathanson studied the co…

On Sárközy-Sós Theorem related to representation functions

The minimal width of universal p-adic ReLU neural networks

On the Diophantine Equation Involving Elementary Symmetric Polynomials and the Decomposition of Unity

Identical representation functions of linear forms

The minimal width of universal $p$ -adic ReLU neural networks