New companions to Gordon identities from commutative algebra

zbMath1515.05030MaRDI QIDQ6103814

Hussein Mourtada, Frédéric Jouhet, Pooneh Afsharijoo, Jehanne Dousse

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//48.html

zbMATH Keywords

\(q\)-seriesBailey lemmagraded ringsinteger partitionsAndrews-Gordon identitiesmonomial idealsDurfee dissections

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (1)

Neighborly partitions and the numerators of Rogers–Ramanujan identities

Cites Work

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• A framework of Rogers-Ramanujan identities and their arithmetic properties
• Arc spaces and the Rogers-Ramanujan identities
• Looking for a new version of Gordon's identities
• 50 Years of Bailey's lemma
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Partitions and Durfee Dissection
• An A₂ Bailey lemma and Rogers-Ramanujan-type identities
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Partition Identities and Application to Infinite-Dimensional Gröbner Basis and Vice Versa
• Change of base in Bailey pairs

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