Key points are not available for this paper at this time.
It was conjectured in the early 1950’s that the empirical spectral distribution of an n n matrix, of iid entries, normalized by a factor of 1n, converges to the uniform distribution over the unit disc on the complex plane, which is called the circular law. Only a special case of the conjecture, where the entries of the matrix are standard complex Gaussian, is known. In this paper, this conjecture is proved under the existence of the sixth moment and some smoothness conditions. Some extensions and discussions are also presented.
Zhidong Bai (Wed,) studied this question.