The Cranks for 5-Core Partitions

It is well known that the number of 5-core partitions of 5kn + 5k − 1 is a multiple of 5k. In [1] a statistic called a crank was developed to sort the 5-core partitions of 5n + 4 and 25n + 24 into 5 and 25 classes of equal size, respectively. In this paper we will develop the cranks that can be used...

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Bibliographic Details
Main Author: Louis Kolitsch
Format: Article
Language:English
Published: MDPI AG 2012-12-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/1/3/372