Generalizations of some results about the regularity properties of an additive representation function

Sándor Z. Kiss, Csaba Sándor

Let $A=\{a_1,a_2,\dots \}$ $(a_1<a_2<\dots )$ be an infinite sequence of nonnegative integers, and let $R_{A,2}(n)$ denote the number of solutions of $a_{x}+a_{y}=n…