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» Partition identities and Ramanujan's modular equations
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JCT
2007
141views more  JCT 2007»
13 years 10 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 11 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 11 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