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

被引：0

作者：

Chan, Hei-Chi ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Sci, Springfield, IL 62703 USA

来源：

MATHEMATICS | 2024年 / 12卷 / 17期

关键词：

Rogers-Ramanujan identities; q-series; partition identities;

D O I：

10.3390/math12172611

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：8

共 25 条

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ANDREWS, GE
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[6] [Anonymous], 1998, P INT C MATH BERL GE
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[8] ROGERS-RAMANUJAN IDENTITIES IN THE HARD HEXAGON MODEL
BAXTER, RJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1981, 26 (03) : 427 - 452
[9] Belavin A, 2012, Arxiv, DOI arXiv:1212.6600
[10] Berndt B. C., 1991, RAMANUJANS NOTEBOO 3

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