A. Saez

collaborators

2 papers

math.CV2015

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

Seung-Yeop Lee, Andres Saez

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

math.CV2015

Zeros of harmonic polynomials, critical lemniscates and caustics

Dmitry Khavinson, Seung-Yeop Lee, Andres Saez

In this paper we sharpen significantly several known estimates on the maximal number of zeros of complex harmonic polynomials. We also study the relation between the curvature of c…