Refinements of the Rogers-Ramanujan identities

Kathleen Ohara; Dennis Stanton

doi:10.1080/10586458.2015.1014076

Refinements of the Rogers-Ramanujan identities

Kathleen Ohara, Dennis Stanton

School of Mathematics

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

2 Scopus citations

Abstract

Refinements of the classical Rogers-Ramanujan identities are given in which some parts are weighted. Combinatorial interpretations refining MacMahons results are corollaries.

Original language	English (US)
Pages (from-to)	410-418
Number of pages	9
Journal	Experimental Mathematics
Volume	24
Issue number	4
DOIs	https://doi.org/10.1080/10586458.2015.1014076
State	Published - Oct 2 2015

Bibliographical note

Publisher Copyright:
Copyright © 2014 Taylor & Francis Group, LLC.

Keywords

Rogers-Ramanujan
partition
q-series

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10.1080/10586458.2015.1014076

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title = "Refinements of the Rogers-Ramanujan identities",

abstract = "Refinements of the classical Rogers-Ramanujan identities are given in which some parts are weighted. Combinatorial interpretations refining MacMahons results are corollaries.",

keywords = "Rogers-Ramanujan, partition, q-series",

author = "Kathleen Ohara and Dennis Stanton",

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year = "2015",

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day = "2",

doi = "10.1080/10586458.2015.1014076",

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Refinements of the Rogers-Ramanujan identities

Abstract

Bibliographical note

Keywords

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