Partitions of the set of nonnegative integers with the same   representation functions
  For a set of nonnegative integers $S$ let $R_{S}(n)$ denote the number of unordered representations of the integer $n$ as the sum of two different terms from $S$. In this paper we focus on partitions of the natural numbers into two sets affording identical representation functions. We solve a recent problem of Lev and Chen. 
S\'andor Z. Kiss, Csaba S\'andor
math.NT