Partial sums of the hyperharmonic series
Number Theory
2025-06-24 v1
Abstract
In 1946, Erd\"os and Niven proved that no two partial sums of the harmonic series are equal. In this paper, we extend this result by demonstrating that no two partial sums of the hyperharmonic series are equal.
Cite
@article{arxiv.2506.18461,
title = {Partial sums of the hyperharmonic series},
author = {Hongguang Wu and Jun Qiu},
journal= {arXiv preprint arXiv:2506.18461},
year = {2025}
}