Inequalities Between Ranks and Cranks

Higher moments of the partition rank and crank statistics have been studied for their connections to combinatorial objects such as Durfee symbols, as well as for their connections to harmonic Maass forms. This paper proves the first several cases of (and strengthens) a conjecture due to Garvan, whic...

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Bibliographic Details
Main Authors: Bringmann, Kathrin, Mahlburg, Karl Eugene
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society 2009
Online Access:http://hdl.handle.net/1721.1/49528