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| HAL: hal-00395700, version 1 |
| Detailed view |  Export this paper |
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| Discrete Mathematics (2009) 6 pages |
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| Symmetry distribution between hook length and part length for partitions |
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| Christine Bessenrodt 1Guo-Niu Han 2 |
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| (2009) |
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| It is known that the two statistics on integer partitions ``hook length" and ``part length" are equidistributed over the set of all partitions of $n$. We extend this result by proving that the bivariate joint generating function by those two statistics is symmetric. Our method is based on a generating function by a triple statistic much easier to calculate. |
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| 1: | Hannover University |
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Fakultat fur Mathematik und Physik |
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| 2: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| Subject | : | Mathematics/Combinatorics |
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| Attached file list to this document: | |||||
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| hal-00395700, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00395700 | |
| oai:hal.archives-ouvertes.fr:hal-00395700 | |
| From: Guo-Niu Han | |
| Submitted on: Tuesday, 16 June 2009 11:58:43 | |
| Updated on: Thursday, 18 June 2009 21:35:58 | |
