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

页码：175 / 206

页数：32

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