Partition identities and Ramanujan's modular equations

We show that certain modular equations and theta function identities of Ramanujan imply elegant partition identities. Several of the identities are for t-cores. Key Words: partitions, t-cores, theta-functions, modular equations 2000 Mathematial Reviews Classification Numbers: Primary 11P83; Secondary 05A17.

• Type: Journal
• Year: 2007
• Where: JCT
• Authors: Nayandeep Deka Baruah, Bruce C. Berndt
• Keywords: Certain Modular Equations, Identities, JCT 2007, Modular Equations