An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers
arXiv:2503.19919 · doi:10.1080/00029890.2024.2419799
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.
arXiv comment4 pages, 1 figure