For a set of nonnegative integers   S     S        let   R S (n)       R    S     (  n  )         denote the number of unordered representations of the integer   n     n        as the sum of two different terms from   S     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 Chen and Lev.
['Sándor Z. Kiss', 'Csaba Sándor']
Partitions of the set of nonnegative integers with the same representation functions