The Rogers–Ramanujan Identities and Cauchy's Identity

Dennis Stanton

School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA

Abstract: The Rogers–Ramanujan identities are investigated using the Cauchy identity for Schur functions.

Keywords: integer partition, Schur function.

MSC: 05A17, 05A19

Received: February 26, 2025; in final form June 26, 2025; Published online July 1, 2025

Language: English

DOI: 10.3842/SIGMA.2025.049

ArXiv: 2506.?????