A cramér type moderate deviation theorem for the critical curie-weiss model

12 pages, accepted for publication in Electronic Communication in ProbabilityInternational audienceIn this paper we study the moderate deviations for the magnetization of critical Curie-Weiss model. Chen, Fang and Shao considered a similar problem for non-critical model by using Stein method. By direct and simple arguments based on Laplace method, we provide an explicit formula of the error and deduce a Cramér-type result