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arxiv: 1411.6168 · v1 · pith:JL63YB35new · submitted 2014-11-22 · 🧮 math.NT

A New Proof of the Prouhet-Tarry-Escott Problem

classification 🧮 math.NT
keywords problemproofprouhet-tarry-escottclassicalcollectionsderivingdisjointequal
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The famous Prouhet-Tarry-Escott problem seeks collections of mutually disjoint sets of non-negative integers having 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.

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