%0 Journal Article
%T The Cranks for 5-Core Partitions
%A Louis Kolitsch
%J Axioms
%D 2012
%I MDPI AG
%R 10.3390/axioms1030372
%X It is well known that the number of 5-core partitions of 5 kn + 5 k £¿ 1 is a multiple of 5 k. In [1] a statistic called a crank was developed to sort the 5-core partitions of 5 n + 4 and 25 n + 24 into 5 and 25 classes of equal size, respectively. In this paper we will develop the cranks that can be used to sort the 5-core partitions of 5 kn + 5 k £¿ 1 into 5 k classes of equal size.
%K partitions
%K 5-cores
%K cranks
%U http://www.mdpi.com/2075-1680/1/3/372