On partition functions of Andrews and Stanley

DOI10.1016/j.jcta.2004.04.005zbMath1052.05013OpenAlexW1980887482MaRDI QIDQ1883145

Ae Ja Yee

Publication date: 1 October 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.04.005

zbMATH Keywords

generating functionsinteger partitionsGaussian polynomialmodular partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (7)

On partitions with fixed number of even-indexed and odd-indexed odd parts ⋮ A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities ⋮ A four-parameter partition identity ⋮ The Andrews-Stanley partition function and $p(n)$: congruences ⋮ On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations ⋮ A variation of the Andrews-Stanley partition function and two interesting \(q\)-series identities ⋮ Dissecting the Stanley partition function

Uses Software

• StanBij.mws

Cites Work

• A four-parameter partition identity
• A combinatorial proof of a partition identity of Andrews and Stanley
• On a partition function of Richard Stanly
• Some remarks on sign-balanced and maj-balanced posets
• Unnamed Item

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