A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Author: Rosengren, Hjalmar
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212248
• 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

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.