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

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.

MSC: 11P84, 33D15

Received: March 25, 2024; in final form June 27, 2024; Published online July 2, 2024

Language: English

DOI: 10.3842/SIGMA.2024.059

ArXiv: 2212.02355