On double sum generating functions in connection with some classical partition theorems

DOI10.1016/j.disc.2021.112562zbMath1472.05020arXiv1811.08261OpenAlexW2901922762WikidataQ113877044 ScholiaQ113877044MaRDI QIDQ1981690

Ali Kemal Uncu

Publication date: 6 September 2021

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

Full work available at URL: https://arxiv.org/abs/1811.08261

zbMATH Keywords

\(q\)-seriesRogers-Ramanujan identitiesinteger partitionspolynomial identitiesGöllnitz-Gordon identitieslittle Göllnitz identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

Combinatorial proofs and refinements of three partition theorems of Andrews ⋮ \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications ⋮ Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities

Uses Software

• qMultiSum
• SIGMA

Cites Work

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• Further Identities of the Rogers-Ramanujan Type
• Refined \(q\)-trinomial coefficients and character identities.

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