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An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

By George E. Andrews

Abstract

A (k - 1)-fold Eulerian series expansion is given for II(1 - q(n))(-1), where the product runs over all positive integers n that are not congruent to 0,i or - i modulo 2k + 1. The Rogers-Ramanujan identities are the cases k = i = 2 and k = i + 1 = 2

Topics: Physical Sciences: Mathematics
Year: 1974
DOI identifier: 10.1073/pnas.71.10.4082
OAI identifier: oai:pubmedcentral.nih.gov:434332
Provided by: PubMed Central
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