Searching for the maximal valence of harmonic polynomials: a new example

preprint2015arXivOpen access

We find a new lower bound for the maximal number of zeros to harmonic polynomials, $p(z)+\overline{q(z)}$ , when ${\rm deg}\, p = n$ and ${\rm deg}\, q = n-2$ .

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Searching for the maximal valence of harmonic polynomials: a new example

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