Csaba S'andor

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20242026

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math.NT2025

Cross representations of additive complements of $r$ -th powers

Yuchen Ding, Ben Krause, Csaba Sándor +2

Let $N$ be the set of natural numbers and $S_{r} = {1^{r}, 2^{r}, 3^{r}, \dots}$ the set of $r$ -th powers, where $r \geq 2$ is a natural number. Let $\mathcal{W}_r…

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…

Cross representations of additive complements of r-th powers

Identical representation functions of linear forms

Cross representations of additive complements of $r$ -th powers