Quintic and septic Eisenstein series

被引：30

作者：

Cooper, Shaun ^{[1
]}

Toh, Pee Choon ^{[2
]}

机构：

[1] Massey Univ Albany, Inst Informat & Math Sci, Auckland, New Zealand

[2] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

来源：

RAMANUJAN JOURNAL | 2009年 / 19卷 / 02期

关键词：

Convolution sum; Dedekind eta function; Eisenstein series; Lost notebook; Modular function; Rogers-Ramanujan continued fraction; IDENTITIES; RAMANUJAN; EQUATIONS;

D O I：

10.1007/s11139-008-9123-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using results that were well-known to Ramanujan, we give proofs of some results for Eisenstein series in the lost notebook. Our proofs have the additional advantage that it is not necessary to know the results in advance; that is, the proofs are derivations as opposed to verifications.

引用

页码：163 / 181

页数：19

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