Partitions with Prescribed Hook Differences

George E. Andrews; R. J. Baxter; D. M. Bressoud; W. H. Burge; P. J. Forrester; G. Viennot

doi:10.1016/S0195-6698(87)80041-0

Partitions with Prescribed Hook Differences

George E. Andrews
, R. J. Baxter
, D. M. Bressoud
, W. H. Burge
, P. J. Forrester
, G. Viennot

Mathematics

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

We investigate partition identities related to off-diagonal hook differences. Our results generalize previous extensions of the Rogers—Ramanujan identities. The identity of the related polynomials with constructs in statistical mechanics is discussed.

Original language	English (US)
Pages (from-to)	341-350
Number of pages	10
Journal	European Journal of Combinatorics
Volume	8
Issue number	4
DOIs	https://doi.org/10.1016/S0195-6698(87)80041-0
State	Published - 1987

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/S0195-6698(87)80041-0

Cite this

@article{9cb37faba4ff4fddb3a6c1b81609cf6c,

title = "Partitions with Prescribed Hook Differences",

abstract = "We investigate partition identities related to off-diagonal hook differences. Our results generalize previous extensions of the Rogers—Ramanujan identities. The identity of the related polynomials with constructs in statistical mechanics is discussed.",

author = "Andrews, \{George E.\} and Baxter, \{R. J.\} and Bressoud, \{D. M.\} and Burge, \{W. H.\} and Forrester, \{P. J.\} and G. Viennot",

year = "1987",

doi = "10.1016/S0195-6698(87)80041-0",

language = "English (US)",

volume = "8",

pages = "341--350",

journal = "European Journal of Combinatorics",

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T1 - Partitions with Prescribed Hook Differences

AU - Andrews, George E.

AU - Baxter, R. J.

AU - Bressoud, D. M.

AU - Burge, W. H.

AU - Forrester, P. J.

AU - Viennot, G.

PY - 1987

Y1 - 1987

N2 - We investigate partition identities related to off-diagonal hook differences. Our results generalize previous extensions of the Rogers—Ramanujan identities. The identity of the related polynomials with constructs in statistical mechanics is discussed.

AB - We investigate partition identities related to off-diagonal hook differences. Our results generalize previous extensions of the Rogers—Ramanujan identities. The identity of the related polynomials with constructs in statistical mechanics is discussed.

UR - https://www.scopus.com/pages/publications/84968516483

UR - https://www.scopus.com/pages/publications/84968516483#tab=citedBy

U2 - 10.1016/S0195-6698(87)80041-0

DO - 10.1016/S0195-6698(87)80041-0

M3 - Article

AN - SCOPUS:84968516483

SN - 0195-6698

VL - 8

SP - 341

EP - 350

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 4

ER -

Partitions with Prescribed Hook Differences

Abstract

All Science Journal Classification (ASJC) codes

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