New hook-content formulas for strict partitions

Guo Niu Han; Huan Xiong

New hook-content formulas for strict partitions

Guo Niu Han
, Huan Xiong

Université de Strasbourg
University of Zurich

Research output: Contribution to journal › Conference article › peer-review

5 Scopus citations

Abstract

We introduce the difference operator for functions defined on strict partitions and prove a polynomiality property for a summation involving the bar length (hook length) and content statistics. As an application, several new hook-content formulas for strict partitions are derived.

Original language	English
Pages (from-to)	635-646
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
State	Published - 2016
Externally published	Yes
Event	28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016 - Vancouver, Canada Duration: 4 Jul 2016 → 8 Jul 2016

Keywords

Bar length
Content
Difference operator
Hook length
Shifted Young tableau
Strict partition

Cite this

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title = "New hook-content formulas for strict partitions",

abstract = "We introduce the difference operator for functions defined on strict partitions and prove a polynomiality property for a summation involving the bar length (hook length) and content statistics. As an application, several new hook-content formulas for strict partitions are derived.",

keywords = "Bar length, Content, Difference operator, Hook length, Shifted Young tableau, Strict partition",

author = "Han, \{Guo Niu\} and Huan Xiong",

note = "Publisher Copyright: {\textcopyright} 2014 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France; 28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016 ; Conference date: 04-07-2016 Through 08-07-2016",

year = "2016",

language = "英语",

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journal = "Discrete Mathematics and Theoretical Computer Science",

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AU - Han, Guo Niu

AU - Xiong, Huan

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AB - We introduce the difference operator for functions defined on strict partitions and prove a polynomiality property for a summation involving the bar length (hook length) and content statistics. As an application, several new hook-content formulas for strict partitions are derived.

KW - Bar length

KW - Content

KW - Difference operator

KW - Hook length

KW - Shifted Young tableau

KW - Strict partition

UR - https://www.scopus.com/pages/publications/85082988124

M3 - 会议文章

AN - SCOPUS:85082988124

SN - 1462-7264

SP - 635

EP - 646

JO - Discrete Mathematics and Theoretical Computer Science

JF - Discrete Mathematics and Theoretical Computer Science

T2 - 28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016

Y2 - 4 July 2016 through 8 July 2016

ER -

New hook-content formulas for strict partitions

Abstract

Keywords

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