Weighted representation functions on ${\mathbb{Z}}_m$

Quan-Hui Yang, Yong-Gao Chen

Let $m$, $k_1$, and $k_2$ be three integers with $m\ge 2$. For any set $A\subseteq {\mathbb{Z}}_m$ and $n\in {\mathbb{Z}}_m$, let ${\hat{r}}_{k_1,k_2}(A,n)$ denote the number of solution…