English

A proof of Dejean's conjecture

Combinatorics 2009-05-22 v3 Formal Languages and Automata Theory

Abstract

We prove Dejean's conjecture. Specifically, we show that Dejean's conjecture holds for the last remaining open values of n, namely 15 <= n <= 26.

Cite

@article{arxiv.0905.1129,
  title  = {A proof of Dejean's conjecture},
  author = {James Currie and Narad Rampersad},
  journal= {arXiv preprint arXiv:0905.1129},
  year   = {2009}
}

Comments

proof details added

R2 v1 2026-06-21T12:59:27.197Z