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math.CV2023★ 1 cited
On the average number of zeros of random harmonic polynomials with i.i.d. coefficients: precise asymptotics
Erik Lundberg, Andrew Thomack
Addressing a problem posed by W. Li and A. Wei (2009), we investigate the average number of (complex) zeros of a random harmonic polynomial sampled from th…
math.CV2014★ 3 cited
Experiments on the zeros of harmonic polynomials using certified counting
Jonathan D. Hauenstein, Antonio Lerario, Erik Lundberg +1
Motivated by Wilmshurst's conjecture, we investigate the zeros of harmonic polynomials. We utilize a certified counting approach which is a combination of two methods from numerica…