A Dilogarithm Series and a Generalization of a Theorem of Bridgeman
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913976771674112 |
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| author | Sanford, Chance |
| author_facet | Sanford, Chance |
| contents | Using Abel's five-term relation, we derive a new two-parameter series identity for the Rogers dilogarithm. By specializing this identity, we obtain dilogarithm series involving Lucas sequences. These results generalize certain series identities of Bridgeman related to solutions of Pell's equations, which were obtained via a completely different approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21619 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Dilogarithm Series and a Generalization of a Theorem of Bridgeman Sanford, Chance Number Theory Classical Analysis and ODEs 33B30 (Primary) 11B39 (Secondary) Using Abel's five-term relation, we derive a new two-parameter series identity for the Rogers dilogarithm. By specializing this identity, we obtain dilogarithm series involving Lucas sequences. These results generalize certain series identities of Bridgeman related to solutions of Pell's equations, which were obtained via a completely different approach. |
| title | A Dilogarithm Series and a Generalization of a Theorem of Bridgeman |
| topic | Number Theory Classical Analysis and ODEs 33B30 (Primary) 11B39 (Secondary) |
| url | https://arxiv.org/abs/2410.21619 |