English

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

Number Theory 2014-02-04 v2

Abstract

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.

Cite

@article{arxiv.1401.3727,
  title  = {Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence},
  author = {Jean-Paul Allouche},
  journal= {arXiv preprint arXiv:1401.3727},
  year   = {2014}
}

Comments

Proof of Shevelev's conjecture fixed

R2 v1 2026-06-22T02:46:32.782Z