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arXiv · 1304.6756

The Prouhet-Tarry-Escott Problem and Generalized Thue-Morse Sequences

Ethan D. Bolker·Carl Offner·Robert Richman·Catalin Zara
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Abstract

We present new methods of generating Prouhet-Tarry-Escott partitions of arbitrarily large regularity. One of these methods generalizes the construction of the Thue-Morse sequence to finite alphabets with more than two letters. We show how one can use such partitions to (theoretically) pour the same volume coffee from an urn into a finite number of cups so that each cup gets almost the same amount of caffeine.

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Ethan D. Bolker, Carl Offner, Robert Richman, Catalin Zara. 2013-04-24. The Prouhet-Tarry-Escott Problem and Generalized Thue-Morse Sequences. https://doi.org/10.4310/joc.2016.v7.n1.a5

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