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arXiv · 1709.08190

A different approach to the Fraenkel Conjecture for low $n$ values

Ofir Schnabel·Jamie Simpson
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Abstract

We present a new approach to deal with Fraenkel's conjecture, which describes how the integers can be partitioned into sets of rational Beatty sequences, in the case where the numerators of the moduli are equal. We use this approach to give a new proof of the known $n=4$ case when the numerators are equal.

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Ofir Schnabel, Jamie Simpson. 2017-09-24. A different approach to the Fraenkel Conjecture for low $n$ values. https://arxiv.org/abs/1709.08190

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