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arXiv · 1606.06929

Partitions of the set of nonnegative integers with the same representation functions

Sándor Z. Kiss·Csaba Sándor
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Abstract

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.

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Sándor Z. Kiss, Csaba Sándor. 2016-06-22. Partitions of the set of nonnegative integers with the same representation functions. https://arxiv.org/abs/1606.06929

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