Ideal solutions in the Prouhet-Tarry-Escott problem

Don Coppersmith, Michael J. Mossinghoff, Danny Scheinerman +1

For given positive integers $m$ and $n$ with $m<n$, the Prouhet-Tarry-Escott problem asks if there exist two disjoint multisets of integers of size $n$ having identical $k$th momen…