On the existence of infinite, non-trivial $F$-sets
Number Theory
2019-02-13 v1
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 -set over for every fixed . We also provide the proof of a refinement of the conjecture, involving the notion of width of an -set, which is a natural number encoding the complexity of the set.
Cite
@article{arxiv.1602.06608,
title = {On the existence of infinite, non-trivial $F$-sets},
author = {Andrea Ferraguti and Giacomo Micheli},
journal= {arXiv preprint arXiv:1602.06608},
year = {2019}
}