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Axioms 2012, 1(3), 372-383; doi:10.3390/axioms1030372
The Cranks for 5-Core Partitions
The University of Tennessee at Martin, Martin, TN 38238, USA
Received: 7 August 2012; in revised form: 21 September 2012 / Accepted: 26 November 2012 / Published: 3 December 2012
(This article belongs to the Special Issue q-Series and Related Topics in Special Functions and Analytic Number Theory)
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Abstract: It is well known that the number of 5-core partitions of 5kn + 5k − 1 is a multiple of 5k. In  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.