A four-parameter partition identity

DOI10.1007/S11139-006-0145-4zbMath1114.05008arXivmath/0308012OpenAlexW2006774356MaRDI QIDQ874898

Cilanne E. Boulet

Publication date: 10 April 2007

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308012

zbMATH Keywords

bijective proof

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (14)

On partition functions of Andrews and Stanley ⋮ 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 unification of two refinements of Euler's partition theorem ⋮ Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities ⋮ The Andrews-Stanley partition function and $p(n)$: congruences ⋮ On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations ⋮ Minor summation formula and a proof of Stanley's open problem ⋮ A variation of the Andrews-Stanley partition function and two interesting \(q\)-series identities ⋮ Weighted Rogers-Ramanujan partitions and Dyson crank ⋮ On certain unimodal sequences and strict partitions ⋮ The Andrews-Stanley partition function and Al-Salam-Chihara polynomials ⋮ A new companion to Capparelli's identities ⋮ Dissecting the Stanley partition function

Uses Software

• StanBij.mws

Cites Work

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

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