Representation functions in the set of natural numbers

Shi-Qiang Chen, Csaba Sándor, Quan-Hui Yang

Let $\mathbb{N}$ be the set of all nonnegative integers. For $S\subseteq \mathbb{N}$ and $n\in \mathbb{N}$, let $R_S(n)$ denote the number of solutions of the equation $n=s+s^{\prime }$, $s…