Göllnitz-Gordon Partitions with Weights and Parity Conditions

DOI10.1007/0-387-24981-8_1zbMath1176.11047arXivmath/0403167OpenAlexW2121584188MaRDI QIDQ5192401

Krishnaswami Alladi, Alexander Berkovich

Publication date: 5 August 2009

Published in: Zeta Functions, Topology and Quantum Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403167

zbMATH Keywords

weighted partitionsGöllnitz-Gordon partitionsinfinite hierarchydouble series representationchain decompositionparity conditions\(q\)-trinomial identitiesBailey Lemma

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items

Combinatorial Interpretation of a Generalized Basic Series ⋮ Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities ⋮ Continued fraction expansions related to Göllnitz' little partition theorem ⋮ On double sum generating functions in connection with some classical partition theorems ⋮ Variation on a theme of Nathan Fine. New weighted partition identities ⋮ Double series representations for Schur's partition function and related identities ⋮ Weighted Rogers-Ramanujan partitions and Dyson crank ⋮ Unnamed Item ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities

Cites Work

• Unnamed Item
• Unnamed Item
• Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients
• On a partition theorem of Göllnitz and quartic transformations
• The generalized Borwein conjecture. II: Refined \(q\)-trinomial coefficients
• Some continued fractions of the Rogers-Ramanujan type
• An Introduction to Ramanujan's "lost" Notebook
• Partitionen mit Differenzenbedingungen.
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type