On an identity of Glass and Ng concerning the hook length formula

被引：0
|
作者：
Zhang, Rong [1 ]
机构：
[1] Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471023, Peoples R China
来源：
DISCRETE MATHEMATICS | 2010年 / 310卷 / 17-18期
关键词：
Hook length formula; Polynomial coefficients; PROOF;
D O I：
10.1016/j.disc.2010.05.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Glass and Ng obtained a simple proof of the hook length formula by establishing an identity on the usage of the residue theorem. In this note we present an algebraic proof of their identity. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2440 / 2442
页数：3
相关论文
共 50 条
  • [1] The weighted hook length formula
    Ciocan-Fontanine, Ionut
    Konvalinka, Matjaz
    Pak, Igor
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2011, 118 (06) : 1703 - 1717
  • [2] A simple proof of the Hook Length Formula
    Glass, K
    Ng, CK
    AMERICAN MATHEMATICAL MONTHLY, 2004, 111 (08): : 700 - 704
  • [3] A multiset hook length formula and some applications
    Dehaye, Paul-Olivier
    Han, Guo-Niu
    DISCRETE MATHEMATICS, 2011, 311 (23-24) : 2690 - 2702
  • [4] A BIJECTIVE PROOF OF THE HOOK-LENGTH FORMULA
    FRANZBLAU, DS
    ZEILBERGER, D
    JOURNAL OF ALGORITHMS, 1982, 3 (04) : 317 - 343
  • [5] The hook-length formula and generalised Catalan numbers
    Griffiths, Martin
    Lord, Nick
    MATHEMATICAL GAZETTE, 2011, 95 (532): : 23 - 30
  • [6] On conjectures regarding the Nekrasov–Okounkov hook length formula
    Bernhard Heim
    Markus Neuhauser
    Archiv der Mathematik, 2019, 113 : 355 - 366
  • [7] The weighted hook length formula III: Shifted tableaux
    Konvalinka, Matjaz
    ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
  • [8] On Postnikov's hook length formula for binary trees
    Chen, William Y. C.
    Yang, Laura L. M.
    EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (07) : 1563 - 1565
  • [9] Hook, line and sinker: A bijective proof of the skew shifted hook-length formula
    Konvalinka, Matjaz
    EUROPEAN JOURNAL OF COMBINATORICS, 2020, 86
  • [10] A mixed hook-length formula for affine Hecke algebras
    Nazarov, M
    EUROPEAN JOURNAL OF COMBINATORICS, 2004, 25 (08) : 1345 - 1376
12345