Partial sums of the hyperharmonic series

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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Journal
ArXiv.org
Published
2025-06-23
Primary Topic
Text and Document Classification Technologies
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article
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article

Partial sums of the hyperharmonic series

ArXiv.org
Text and Document Classification Technologies
article

Partial sums of the hyperharmonic series

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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.

ArXiv.org
Openalex Percentile: Top 73%
Text and Document Classification Technologies
Open Access PDFOpenAlex
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Partial sums of the hyperharmonic series · ArXiv.org (2025) | TGRS Research Map | TGRS