On the number of roots for harmonic trinomials

Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete

In this manuscript we study the counting problem for harmonic trinomials of the form $a{\zeta }^n+b{\overline{\zeta }}^m+c$, where $n,m\in \mathbb{N}$, $n>m$, and $a$, $b$ and $c$ are non-zero com…