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

2015/12/05 by Seung‐Yeop Lee, Andrés Sáez, Lee, Seung-Yeop +1
Mathematics · #30C55 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1512.03793

openalex publication_date 2015/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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