Turbulence is an ubiquitous phenomenon in fluid flows. Yet, calculating its statistical properties, and in particular what is generically called intermittency effects, remains an open issue. I will focus on isotropic and homogeneous fully developed turbulence in three-dimensional incompressible flows. I will present some exact asymptotic (i.e. in the limit of large wave-numbers) results on the time dependence of generic correlation functions in the stationary turbulent state. These results are obtained starting from the continuous description of the fluid dynamics provided by Navier-Stokes equation, and using a field-theoretical approach, based on the Functional Renormalisation Group. I will also compare these results to numerical simulations and experiments.