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arXiv · 1602.06608

On the existence of infinite, non-trivial $F$-sets

Andrea Ferraguti·Giacomo Micheli
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Abstract

In this paper we prove a conjecture of J. Andrade, S. J. Miller, K. Pratt and M. Trinh, showing the existence of a non trivial infinite $F$-set over $\mathbb F_q[x]$ for every fixed $q$. We also provide the proof of a refinement of the conjecture, involving the notion of width of an $F$-set, which is a natural number encoding the complexity of the set.

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BibTeXRIS

Andrea Ferraguti, Giacomo Micheli. 2016-02-22. On the existence of infinite, non-trivial $F$-sets. https://doi.org/10.1016/j.jnt.2016.03.024

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