Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence
Journal de théorie des nombres de Bordeaux, Tome 27 (2015) no. 2, pp. 375-388.

Nous décrivons quelques résultats récents sur la suite de Thue-Morse, ainsi que des questions ou conjectures, dont l’une, due à Shevelev, est résolue dans cet article.

We describe some recent results on the Thue-Morse sequence. We also list open questions and conjectures, one of which is due to Shevelev and proved in this paper.

DOI : 10.5802/jtnb.906
Classification : 11B85, 68R15
Allouche, Jean-Paul 1

1 Institut de Mathématiques de Jussieu-PRG Équipe Combinatoire et Optimisation Université Pierre et Marie Curie, Case 247 4 Place Jussieu F-75252 Paris Cedex 05 France
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Allouche, Jean-Paul. Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Journal de théorie des nombres de Bordeaux, Tome 27 (2015) no. 2, pp. 375-388. doi : 10.5802/jtnb.906. http://www.numdam.org/articles/10.5802/jtnb.906/

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