  The famous Bieberbach Conjecture from 1916 on the coefficients of normalized
univalent functions defined in the unit disk that was finally proved by de
Branges some 70 years later, drifted many complex analysts attention to other
subjects. Those who continued to explore de Branges method and push it as far
as possible were not aware of where it may lead. Surprisingly enough, a paper
by X. H. Dong that fell in our hands contained a way to tackle one of the
problems of Bombieri on the behavior of the coefficients of univalent
functions. We shall give an account of the history of the problem and a revised
version of it.
