A problem of Yang and Chen on weighted representation functions

Shuang-Shuang Li, Ya-Ting Xu, Xiao-Hui Yan

Let $\mathbb{N}$ denote the set of nonnegative integers. For an integer $k>1$ and a set $A\subseteq \mathbb{N}$, let $R_{1,k}(A,n)$ denote the number of solutions of $n=a_1+k{a}_2$ with…