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arXiv · 2503.19919

An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers

David Treeby·Edward Wang
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Abstract

We present an extension of the Prouhet-Tarry-Escott problem by demonstrating that signed sums of noninteger powers of consecutive integers can be made arbitrarily close to zero.

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David Treeby, Edward Wang. 2025-03-10. An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers. https://doi.org/10.1080/00029890.2024.2419799

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