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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.11849 |
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| _version_ | 1866912123739701248 |
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| author | Adegoke, Kunle Frontczak, Robert |
| author_facet | Adegoke, Kunle Frontczak, Robert |
| contents | Based on a recent representation of the psi function due to Guillera and Sondow and independently Boyadzhiev, new closed forms for various series involving harmonic numbers and inverse factorials are derived. A high point of the presentation is the rediscovery, by much simpler means, of a famous quadratic Euler sum originally discovered in 1995 by Borwein and Borwein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New harmonic number series Adegoke, Kunle Frontczak, Robert Number Theory 30B50, 33E20 Based on a recent representation of the psi function due to Guillera and Sondow and independently Boyadzhiev, new closed forms for various series involving harmonic numbers and inverse factorials are derived. A high point of the presentation is the rediscovery, by much simpler means, of a famous quadratic Euler sum originally discovered in 1995 by Borwein and Borwein. |
| title | New harmonic number series |
| topic | Number Theory 30B50, 33E20 |
| url | https://arxiv.org/abs/2411.11849 |