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Alastair Fletcher

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

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