Axioms 2012, 1(3), 372-383; doi:10.3390/axioms1030372
Article

The Cranks for 5-Core Partitions

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Received: 7 August 2012; in revised form: 21 September 2012 / Accepted: 26 November 2012 / Published: 3 December 2012
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: 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.
Keywords: partitions; 5-cores; cranks
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MDPI and ACS Style

Kolitsch, L. The Cranks for 5-Core Partitions. Axioms 2012, 1, 372-383.

AMA Style

Kolitsch L. The Cranks for 5-Core Partitions. Axioms. 2012; 1(3):372-383.

Chicago/Turabian Style

Kolitsch, Louis. 2012. "The Cranks for 5-Core Partitions." Axioms 1, no. 3: 372-383.

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