On Ramanujan's function k(q)=r(q)r 2(q 2)

被引：21
|
作者：
Cooper, Shaun [1 ]
机构：
[1] Massey Univ Albany, IIMS, N Shore Mail Ctr, Auckland, New Zealand
来源：
RAMANUJAN JOURNAL | 2009年 / 20卷 / 03期
关键词：
Atkin-Lehner involution; Eisenstein series; Eta-function; Ramanujan's lost notebook; Ramanujan's second notebook; Rogers-Ramanujan continued fraction; Theta function; INFINITE PRODUCT IDENTITIES; CONTINUED-FRACTION; MODULAR EQUATIONS; SERIES; FORMULAS;
D O I：
10.1007/s11139-009-9198-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In both his second and lost notebooks, Ramanujan introduced a function, related to the Rogers-Ramanujan continued fraction and its quadratic transformation, and listed several of its properties. We extend these results and develop a systematic theory.
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页码：311 / 328
页数：18
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