The Prouhet-Tarry-Escott problem for Gaussian integers

Timothy Caley

Given natural numbers $n$ and $k$, with $n>k$, the Prouhet-Tarry-Escott (PTE) problem asks for distinct subsets of $\mathbb{Z}$, say $X=\{x_1,...,x_n\}$ and $Y=\{y_1,...,y_n\}$, such that…