Dejean’s conjecture holds for 𝖭≥27
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 4, pp. 775-778.

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.

DOI : 10.1051/ita/2009017
Classification : 68R15
Mots-clés : Dejean's conjecture, repetitions in words, fractional exponent 
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     author = {Currie, James and Rampersad, Narad},
     title = {Dejean{\textquoteright}s conjecture holds for $\sf {N\ge 27}$},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {775--778},
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     url = {http://www.numdam.org/articles/10.1051/ita/2009017/}
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Currie, James; Rampersad, Narad. Dejean’s conjecture holds for $\sf {N\ge 27}$. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 4, pp. 775-778. doi : 10.1051/ita/2009017. http://www.numdam.org/articles/10.1051/ita/2009017/

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