Abstract by Shelby Gold
Zeros of Complex Harmonic Polynomials Part 1: An Introduction and Visual Exploration
It is a well-known fact that a polynomial of degree n has n roots in the complex plane. This statement, known as the Fundamental Theorem of Algebra, does not apply to harmonic polynomials. Such polynomials can be written as an analytic part and a conjugate part. This presentation will introduce some basic definitions and show how we can use Mathematica to explore the number and locations of zeros.