Title: On the zeros of random harmonic polynomials: the Weyl model,
Abstract: Li and Wei (2009) studied the density of zeros of Gaussian harmonic
polynomials with independent Gaussian coefficients. They derived a formula for
the expected number of zeros of random harmonic polynomials as well as
asymptotics for the case that the polynomials are drawn from the Kostlan
ensemble. In this paper we extend their work to cover the case that the
polynomials are drawn from the Weyl ensemble by deriving asymptotics for this
class of harmonic polynomials.