Sur un crit\`ere de Baez-Duarte pour l'hypoth\`ese de Riemann
  Baez-Duarte reformulated the Riemann hypothesis as a statement about a Hilbert space distance, involving the integer dilations of the "fractional part" function. Under the assumption of the Riemann hypothesis, we improve on the currently known estimate for this distance. 
Michel Balazard (IML), Anne De Roton (IECN)