On a group of normalized solutions of the higher-dimensional Prouhet--Tarry--Escott problem

Munenori Inagaki, Hideki Matsumura, Masanori Sawa +1

We elucidate, for the first time, a novel group-theoretic structure that arises from certain solutions of the $n$-dimensional Prouhet--Tarry--Escott problem of degree $2$ and size…