Partition identities and Ramanujan's modular equations

被引：42

作者：

Baruah, Nayandeep Deka ^{[1
]}

Berndt, Bruce C. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2007年 / 114卷 / 06期

关键词：

partitions; t-cores; theta-functions; modular equations;

D O I：

10.1016/j.jcta.2006.11.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that certain modular equations and theta function identities of Ramanujan imply elegant partition identities. Several of the identities are for t-cores. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1024 / 1045

页数：22

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