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arXiv:1401.3727 [math.NT]AbstractReferencesReviewsResources

Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence

Jean-Paul Allouche

Published 2014-01-15, updated 2014-02-03Version 2

Nous d\'ecrivons quelques r\'esultats r\'ecents sur la suite de Thue-Morse, ainsi que des questions ou conjectures, dont l'une, due \`a Shevelev, est r\'esolue 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.

Comments: Proof of Shevelev's conjecture fixed
Categories: math.NT
Subjects: 11B85, 68R15
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