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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.18461 |
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| _version_ | 1866915355231780864 |
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| author | Wu, Hongguang Qiu, Jun |
| author_facet | Wu, Hongguang Qiu, Jun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partial sums of the hyperharmonic series Wu, Hongguang Qiu, Jun Number Theory 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. |
| title | Partial sums of the hyperharmonic series |
| topic | Number Theory |
| url | https://arxiv.org/abs/2506.18461 |