Notes de lecture de l'article "Partial sums of the M\"obius function" de   Kannan Soundararajan
  Kannan Soundararajan recently obtained a new estimate, conditional to the Riemann hypothesis, for the summatory function of the Mobius function. In this expository article we describe his method, with detailed computations. 
Michel Balazard (IML), Anne De Roton (IECN)