On the Primordial Black Hole Mass Function for Broad Spectra
  We elaborate on the mass function of primordial black holes in the case in
which the power spectrum of the curvature perturbation is broad. For the case
of a broad and flat spectrum, we argue that such a mass function is peaked at
the smallest primordial black mass which can be formed and possesses a tail
decaying like $M^{-3/2}$, where $M$ is the mass of the primordial black hole.
