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

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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
Keywords: Dejean's conjecture, repetitions in words, fractional exponent 
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
@article{ITA_2009__43_4_775_0,
     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},
     year = {2009},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {4},
     doi = {10.1051/ita/2009017},
     mrnumber = {2589992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2009017/}
}
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