Symmetry distribution between hook length and part length for partitions

被引：1
|
作者：
Bessenrodt, Christine [3 ]
Han, Guo-Niu [1 ,2 ]
机构：
[1] Univ Strasbourg, IRMA, UMR 7501, F-67084 Strasbourg, France
[2] CNRS, F-67084 Strasbourg, France
[3] Leibniz Univ Hannover, Fak Math & Phys, D-30167 Hannover, Germany
来源：
DISCRETE MATHEMATICS | 2009年 / 309卷 / 20期
关键词：
Partitions; Hook lengths; Hook type; Symmetry distribution;
D O I：
10.1016/j.disc.2009.05.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that the two statistics oil 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 oil a generating function by a triple Statistic much easier to calculate. (C) 2009 Elsevier B.V. All rights reserved.
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页码：6070 / 6073
页数：4
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