A NEW PROOF OF THE PROUHET-TARRY-ESCOTT PROBLEM

摘要

The famous Prouhet-Tarry-Escott problem seeks collections of mutually disjoint sets of non-negative integers that have equal sums of like powers. In this paper we present a new proof of the solution to this problem by deriving a generalization of the product generating function formula for the classical Prouhet-Thue-Morse sequence.