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Revisiting a Classic Identity That Implies the Rogers–Ramanujan Identities III

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  • Hei-Chi Chan

    (Department of Mathematical Sciences, University of Illinois Springfield, Springfield, IL 62703-5407, USA)

Abstract

This is the third installment in a series of papers on a one-parameter extension of the Rogers–Ramanujan identities (this extension was discovered independently by Rogers and Ramanujan). In this paper, we report a new proof of this identity. Our key ingredient is the Bridge Lemma, an identity that connects the both sides of the one-parameter refinement, which differ significantly in terms of their complexity.

Suggested Citation

  • Hei-Chi Chan, 2024. "Revisiting a Classic Identity That Implies the Rogers–Ramanujan Identities III," Mathematics, MDPI, vol. 12(17), pages 1-8, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2611-:d:1462736
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