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
收藏
页码：36 / 48
页数：13
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