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» Partition identities and Ramanujan's modular equations
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JCT
2007
141views more  JCT 2007»
13 years 4 months ago
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: partitio...
Nayandeep Deka Baruah, Bruce C. Berndt
JCT
2006
72views more  JCT 2006»
13 years 4 months ago
On the work of Basil Gordon
A review is given of several aspects of the work of Basil Gordon. These include: Rogers-Ramanujan identities, plane partitions, the method of weighted words, modular forms and part...
Krishnaswami Alladi, George E. Andrews, Ken Ono, R...
DM
2008
69views more  DM 2008»
13 years 4 months ago
New identities for 7-cores with prescribed BG-rank
Let be a partition. BG-rank() is defined as an alternating sum of parities of parts of [1]. In [2], Berkovich and Garvan found theta series representations for the t-core generat...
Alexander Berkovich, Hamza Yesilyurt