New modular relations for the Rogers-Ramanujan type functions of order fifteen

被引：0

作者：

Adiga, Chandrashekar ^{[1
]}

Vanitha, A. ^{[1
]}

机构：

[1] Univ Mysore, Dept Studies Math, Mysore 570006, Karnataka, India

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2014年 / 20卷 / 01期

关键词：

Rogers-Ramanujan functions; Theta functions; Jacobi's triple product identity; Colored partitions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish two modular relations for the Rogers-Ramanujan-Slater functions of order fifteen. These relations are analogues to Ramanujan's famous forty identities for the Rogers-Ramanujan functions. Furthermore, we give interesting partition theoretic interpretations of these relations.

引用

页码：36 / 48

页数：13