Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions

被引：6
|
作者：
Baruah, Nayandeep Deka [1 ]
Bora, Jonah [1 ]
机构：
[1] Tezpur Univ, Dept Math Sci, Napaam 784028, Assam, India
来源：
JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 01期
关键词：
Rogers-Ramanujan functions; theta functions; partitions;
D O I：
10.1016/j.jnt.2007.03.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define the nonic Rogers-Ramanujan-type functions D(q), E(q) and F(q) and establish several modular relations involving these functions, which are analogous to Ramanujan's well known forty identities for the Rogers-Ramanujan functions. We also extract partition theoretic results from some of these relations. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：175 / 206
页数：32
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