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.

引用

页码：311 / 328

页数：18

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