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arXiv · 2506.18461

Partial sums of the hyperharmonic series

Hongguang Wu·Jun Qiu
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Abstract

In 1946, Erdös 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.

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Hongguang Wu, Jun Qiu. 2025-06-23. Partial sums of the hyperharmonic series. https://arxiv.org/abs/2506.18461

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