On the \(q\)-binomial identities involving the Legendre symbol modulo 3

DOI10.1016/J.DISC.2023.113824arXiv2302.06017OpenAlexW4389229346MaRDI QIDQ6177426

Alexander Berkovich

Publication date: 17 January 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.06017

zbMATH Keywords

\(q\)-binomial identitiesinfinite hierarchies of \(q\)-series identitiesEisenstein formula for the Legendre symbol

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

• Unnamed Item
• Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
• Multiple series Rogers-Ramanujan type identities
• Ramanujan-Slater type identities related to the moduli 18 and 24
• New infinite hierarchies of polynomial identities related to the Capparelli partition theorems
• Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities
• Combinatorics of Ramanujan–Slater Type Identities
• A combinatorial proof of a partition identity related to the level 3 representations of a twisted affine lie algebra
• Ramanujan's Lost Notebook
• Further Identities of the Rogers-Ramanujan Type

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