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 to sort the 5-core partitions of 5kn + 5k - 1 into 5k classes of equal size. [ABSTRACT FROM AUTHOR]