  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.

Number Theory