On an identity of Gessel and Stanton and the new little Göllnitz identities

DOI10.1016/j.aam.2009.12.009zbMath1227.05059DBLPjournals/aam/SavageS11OpenAlexW2118494613WikidataQ57437449 ScholiaQ57437449MaRDI QIDQ534210

Andrew V. Sills, Carla D. Savage

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.12.009

zbMATH Keywords

integer partitions\(q\)-series identities\(q\)-Gauss summationGöllnitz-Gordon partition theoremLebesgue identitylittle Göllnitz partition theorems

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) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Related Items (4)

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 ⋮ The mathematics of lecture hall partitions ⋮ Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple series Rogers-Ramanujan type identities
• Transformations of non-terminating basic hypergeometric series, their contour integrals and applications to Rogers-Ramanujan identites
• Some continued fractions of the Rogers-Ramanujan type
• On the q-analog of Kummer's theorem and applications
• Lecture Hall Sequences, q-Series, and Asymmetric Partition Identities
• IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE
• Applications of q-Lagrange Inversion to Basic Hypergeometric Series
• On Rogers-Ramanujan Type Identities Related to the Modulus 11
• Ramanujan's Lost Notebook
• A Generalization of the Gollnitz-Gordon Partition Theorems
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• Partitionen mit Differenzenbedingungen.
• Further Identities of the Rogers-Ramanujan Type

This page was built for publication: On an identity of Gessel and Stanton and the new little Göllnitz identities