A multiset hook length formula and some applications

被引：3

作者：

Dehaye, Paul-Olivier ^{[1
]}

Han, Guo-Niu ^{[2
,3
]}

机构：

[1] ETH, Dept Math, CH-8092 Zurich, Switzerland

[2] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France

[3] CNRS, F-67084 Strasbourg, France

来源：

DISCRETE MATHEMATICS | 2011年 / 311卷 / 23-24期

关键词：

Integer partitions; Hook length; q-series; Congruence relations; t-cores; MACDONALD IDENTITIES; TOPOLOGICAL VERTEX; ELEMENTARY PROOF; PARTITIONS;

D O I：

10.1016/j.disc.2011.08.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A multiset hook length formula for integer partitions is established by using combinatorial manipulation. As special cases, we rederive three hook length formulas, two of them obtained by Nekrasov-Okounkov, the third one by Iqbal. Nazir, Raza and Saleem, who have made use of the cyclic symmetry of the topological vertex. A multiset hook-content formula is also proved. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2690 / 2702

页数：13

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