Siegel zeros and the Goldbach problem

It is generally known that under the generalized Riemann hypothesis one could establish the Goldbach conjecture by the circle method provided one could obtain a certain estimate for the integral of the representation function over the minor arcs. Here it is first shown that the generalized Riemann hypothesis in the above statement can be weakened to the assumption that Siegel zeros do not exist. The case when Siegel zeros do exist is then considered.