A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications

Masao Ishikawa; Frédéric Jouhet; Jiang Zeng

doi:10.1007/s10801-006-8350-1

A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications

Masao Ishikawa, Frédéric Jouhet, Jiang Zeng

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

3 Citations (Scopus)

Abstract

An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, in particular, twelve more multiple q-identities of Rogers-Ramanujan type than those previously found by Stembridge and the last two authors.

Original language	English
Pages (from-to)	395-412
Number of pages	18
Journal	Journal of Algebraic Combinatorics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s10801-006-8350-1
Publication status	Published - Jun 2006
Externally published	Yes

Keywords

Hall-Littlewood polynomials
Q-series
Rogers-Ramanujan type identities
Symmetric functions

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-006-8350-1

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title = "A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications",

abstract = "An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, in particular, twelve more multiple q-identities of Rogers-Ramanujan type than those previously found by Stembridge and the last two authors.",

keywords = "Hall-Littlewood polynomials, Q-series, Rogers-Ramanujan type identities, Symmetric functions",

author = "Masao Ishikawa and Fr{\'e}d{\'e}ric Jouhet and Jiang Zeng",

note = "Funding Information: Acknowledgments The second and third authors are partially supported by EC{\textquoteright}s IHRP Programme, within the Research Training Network “Algebraic Combinatorics in Europe”, grant HPRN-CT-2001-00272. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

year = "2006",

month = jun,

doi = "10.1007/s10801-006-8350-1",

language = "English",

volume = "23",

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journal = "Journal of Algebraic Combinatorics",

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AU - Ishikawa, Masao

AU - Jouhet, Frédéric

AU - Zeng, Jiang

N1 - Funding Information: Acknowledgments The second and third authors are partially supported by EC’s IHRP Programme, within the Research Training Network “Algebraic Combinatorics in Europe”, grant HPRN-CT-2001-00272. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2006/6

Y1 - 2006/6

N2 - An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, in particular, twelve more multiple q-identities of Rogers-Ramanujan type than those previously found by Stembridge and the last two authors.

AB - An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, in particular, twelve more multiple q-identities of Rogers-Ramanujan type than those previously found by Stembridge and the last two authors.

KW - Hall-Littlewood polynomials

KW - Q-series

KW - Rogers-Ramanujan type identities

KW - Symmetric functions

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A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications

Abstract

Keywords

ASJC Scopus subject areas

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