Refined q-Trinomial Coefficients and Two Infinite Hierarchies of q-Series Identities

DOI10.1007/978-3-030-44559-1_4OpenAlexW2898178312MaRDI QIDQ3387101

Alexander Berkovich, Ali Kemal Uncu

Publication date: 12 January 2021

Published in: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12048

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items (4)

Polynomial identities implying Capparelli's partition theorems ⋮ New infinite hierarchies of polynomial identities related to the Capparelli partition theorems ⋮ On double sum generating functions in connection with some classical partition theorems ⋮ \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications

Uses Software

• qMultiSum
• SIGMA

Cites Work

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• Multiple series Rogers-Ramanujan type identities
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• Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities
• Polynomial identities implying Capparelli's partition theorems
• Symbolic summation assists combinatorics
• Positivity preserving transformations for 𝑞-binomial coefficients
• A combinatorial proof of a partition identity related to the level 3 representations of a twisted affine lie algebra
• Identities of the Rogers-Ramanujan Type
• Further Identities of the Rogers-Ramanujan Type
• On identities of the Rogers-Ramanujan type
• Refined \(q\)-trinomial coefficients and character identities.

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