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

Hei-Chi Chan ()
Additional contact information
Hei-Chi Chan: Department of Mathematical Sciences, University of Illinois Springfield, Springfield, IL 62703-5407, USA

Mathematics, 2024, vol. 12, issue 17, 1-8

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.

Keywords: Rogers-Ramanujan identities; q-series; partition identities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/17/2611/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/17/2611/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:17:p:2611-:d:1462736

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().