The Rogers--Ramanujan continued fraction
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911475208028160 |
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| author | Berndt, Bruce C. Rebák, Örs |
| author_facet | Berndt, Bruce C. Rebák, Örs |
| contents | The primary purpose of this paper is to provide a survey of properties, values, identities, and generalizations of the Rogers--Ramanujan continued fraction, which is closely related to the Rogers--Ramanujan identities. Many of these results are found in Ramanujan's first two letters to Hardy, Ramanujan's notebooks, and his lost notebook. Short historical accounts are provided for both the notebooks and lost notebook. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19952 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Rogers--Ramanujan continued fraction Berndt, Bruce C. Rebák, Örs Number Theory Classical Analysis and ODEs History and Overview 11--02, 11A55, 11F27, 05A30, 11F32 The primary purpose of this paper is to provide a survey of properties, values, identities, and generalizations of the Rogers--Ramanujan continued fraction, which is closely related to the Rogers--Ramanujan identities. Many of these results are found in Ramanujan's first two letters to Hardy, Ramanujan's notebooks, and his lost notebook. Short historical accounts are provided for both the notebooks and lost notebook. |
| title | The Rogers--Ramanujan continued fraction |
| topic | Number Theory Classical Analysis and ODEs History and Overview 11--02, 11A55, 11F27, 05A30, 11F32 |
| url | https://arxiv.org/abs/2512.19952 |