A new proof of Ramanujan’s modular equation relating R(q) with R(q5)

被引：0
作者：
Chadwick Gugg
机构：
[1] University of Illinois at Urbana-Champaign,Department of Mathematics
来源：
The Ramanujan Journal | 2009年 / 20卷
关键词：
Rogers–Ramanujan continued fraction; Rogers–Ramanujan functions; Modular equation; Ramanujan’s notebooks; Ramanujan’s lost notebook; 11A55; 33D90;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a new proof of Ramanujan’s modular identity relating R(q) with R(q5), where R(q) is the famous Rogers–Ramanujan continued fraction. Our formulation is stronger than those of preceding authors; in particular, we give for the first time identities for the expressions appearing in the numerator and the denominator of Ramanujan’s identity. A related identity for R(q) that has partition-theoretic connections is also proved.
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页码：163 / 177
页数：14
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