English

Dejean's conjecture holds for n>=27

Combinatorics 2009-07-09 v2 Formal Languages and Automata Theory

Abstract

We show that Dejean's conjecture holds for n>=27. This brings the final resolution of the conjecture by the approach of Moulin Ollagnier within range of the computationally feasible.

Cite

@article{arxiv.0901.3188,
  title  = {Dejean's conjecture holds for n>=27},
  author = {James Currie and Narad Rampersad},
  journal= {arXiv preprint arXiv:0901.3188},
  year   = {2009}
}

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minor revisions

R2 v1 2026-06-21T12:03:05.411Z