On Eisenstein series and Σm,n=-∞∞ qm(2)+mn+2n(2)

被引：18

作者：

Chan, HH

Ong, YL

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Natl Chung Cheng Univ, Dept Math, Chiayi 62107, Taiwan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 06期

关键词：

Eisenstein series; modular equations; elliptic functions;

D O I：

10.1090/S0002-9939-99-04832-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive some new identities satisfied by the series Sigma(m,n=-infinity)(infinity)q(m2+mn+2n2) using Ramanujan's identities for L(q), M(q) and N(q). Our work is motivated by an attempt to develop a theory of elliptic functions to the septic base.

引用

页码：1735 / 1744

页数：10

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