A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities
We present a new proof of the Rogers-Ramanujan identities. Surprisingly, all its ingredients are already in Rogers' seminal paper from 1894, where he gave a considerably more complicated proof.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212248 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities. Hjalmar Rosengren. SIGMA 20 (2024), 059, 10 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862740149544157184 |
|---|---|
| author | Rosengren, Hjalmar |
| author_facet | Rosengren, Hjalmar |
| citation_txt | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities. Hjalmar Rosengren. SIGMA 20 (2024), 059, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We present a new proof of the Rogers-Ramanujan identities. Surprisingly, all its ingredients are already in Rogers' seminal paper from 1894, where he gave a considerably more complicated proof.
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| first_indexed | 2026-03-21T18:13:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212248 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:13:55Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rosengren, Hjalmar 2026-02-03T07:53:04Z 2024 A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities. Hjalmar Rosengren. SIGMA 20 (2024), 059, 10 pages 1815-0659 2020 Mathematics Subject Classification: 11P84; 33D15 arXiv:2212.02355 https://nasplib.isofts.kiev.ua/handle/123456789/212248 https://doi.org/10.3842/SIGMA.2024.059 We present a new proof of the Rogers-Ramanujan identities. Surprisingly, all its ingredients are already in Rogers' seminal paper from 1894, where he gave a considerably more complicated proof. It is a pleasure to dedicate this paper to Stephen Milne, whose work has been one of my main sources of inspiration. I would like to thank Andrew Sills for the reference to his master’s thesis and for making it available [18]. I also thank the referees for several useful comments. This research is supported by the Swedish Science Research Council, Project no. 2020-04221. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities Article published earlier |
| spellingShingle | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities Rosengren, Hjalmar |
| title | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities |
| title_full | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities |
| title_fullStr | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities |
| title_full_unstemmed | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities |
| title_short | A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities |
| title_sort | new (but very nearly old) proof of the rogers-ramanujan identities |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212248 |
| work_keys_str_mv | AT rosengrenhjalmar anewbutverynearlyoldproofoftherogersramanujanidentities AT rosengrenhjalmar newbutverynearlyoldproofoftherogersramanujanidentities |