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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| Format: | Article |
| Language: | English |
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MDPI AG
2012-12-01
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| Series: | Axioms |
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| Online Access: | http://www.mdpi.com/2075-1680/1/3/372 |
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Article |
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doaj-689340fe19ad4641a1e39059e7553d692020-11-24T22:53:42ZengMDPI AGAxioms2075-16802012-12-011337238310.3390/axioms1030372The Cranks for 5-Core PartitionsLouis KolitschIt 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.http://www.mdpi.com/2075-1680/1/3/372partitions5-corescranks |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Louis Kolitsch |
| spellingShingle |
Louis Kolitsch The Cranks for 5-Core Partitions Axioms partitions 5-cores cranks |
| author_facet |
Louis Kolitsch |
| author_sort |
Louis Kolitsch |
| title |
The Cranks for 5-Core Partitions |
| title_short |
The Cranks for 5-Core Partitions |
| title_full |
The Cranks for 5-Core Partitions |
| title_fullStr |
The Cranks for 5-Core Partitions |
| title_full_unstemmed |
The Cranks for 5-Core Partitions |
| title_sort |
cranks for 5-core partitions |
| publisher |
MDPI AG |
| series |
Axioms |
| issn |
2075-1680 |
| publishDate |
2012-12-01 |
| description |
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. |
| topic |
partitions 5-cores cranks |
| url |
http://www.mdpi.com/2075-1680/1/3/372 |
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AT louiskolitsch thecranksfor5corepartitions AT louiskolitsch cranksfor5corepartitions |
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