*On the zeros of functions in the Bers space*

**Abstract:**
We present some results on the growth of n(r), the number of zeros in the disk of radius r
(for 0<r<1), for functions in the Bers space of the unit disk. We also exhibit an open and
dense subset of the Bers space
for which we have uniform control over the number of zeros in disks of hyperbolic radius 1