Hjalmar Rosengren, “A New (But Very Nearly Old) Proof of the Rogers–Ramanujan Identities”, SIGMA, 2024, том 20,059, 10 стр.

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

Аннотация: 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.

Ключевые слова: Rogers–Ramanujan identities, constant term identities.

MSC: 11P84, 33D15

Поступила: 25 марта 2024 г.; в окончательном варианте 27 июня 2024 г.; опубликована 2 июля 2024 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2024.059