An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers
History and Overview
2025-03-27 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2503.19919,
title = {An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers},
author = {David Treeby and Edward Wang},
journal= {arXiv preprint arXiv:2503.19919},
year = {2025}
}
Comments
4 pages, 1 figure