Sándor Z. Kiss, Csaba Sándor
Published 2016-06-22Version 1
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.
Sets of natural numbers with proscribed subsets
Quantitative indicators of the solutions of Diophantine equations and systems in the domain of the natural numbers
The sum of the r'th roots of first n natural numbers and new formula for factorial
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