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Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 059, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.059 (Mi sigma2061) 		 
A New (But Very Nearly Old) Proof of the Rogers–Ramanujan Identities

Hjalmar Rosengren

Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96 Göteborg, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2024.059
URL: https://www.emis.de/journals/SIGMA/2024/059/
Abstract: We present a new proof of the Rogers–Ramanujan identities. Surprisingly, all its ingredients are available already in Rogers seminal paper from 1894, where he gave a considerably more complicated proof.
Keywords: Rogers–Ramanujan identities, constant term identities.
Funding agency Grant number
Swedish Research Council 2020-04221
This research is supported by the Swedish Science Research Council, project no. 2020-04221.
Received: March 25, 2024; in final form June 27, 2024; Published online July 2, 2024
Bibliographic databases:
Document Type: Article
MSC: 11P84, 33D15
Language: English
Citation: Hjalmar Rosengren, “A New (But Very Nearly Old) Proof of the Rogers–Ramanujan Identities”, SIGMA, 20 (2024), 059, 10 pp.
Citation in format AMSBIB
\Bibitem{Ros24}
\by Hjalmar~Rosengren
\paper A New (But Very Nearly Old) Proof of the Rogers--Ramanujan Identities
\jour SIGMA
\yr 2024
\vol 20
\papernumber 059
\totalpages 10
\mathnet{http://mi.mathnet.ru/sigma2061}
\crossref{https://doi.org/10.3842/SIGMA.2024.059}
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