Lecture hall theorems, \(q\)-series and truncated objects

DOI10.1016/j.jcta.2004.05.006zbMath1061.05009arXivmath/0309108OpenAlexW2077619251MaRDI QIDQ703685

Sylvie Corteel, Carla D. Savage

Publication date: 11 January 2005

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

Full work available at URL: https://arxiv.org/abs/math/0309108

zbMATH Keywords

EnumerationInteger compositionsInteger partitions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (9)

The \((k, l)\)-Euler theorem and the combinatorics of \((k, l)\)-sequences ⋮ The refined lecture hall theorem via abacus diagrams ⋮ Euler's partition theorem and the combinatorics of \(\ell \)-sequences ⋮ The mathematics of lecture hall partitions ⋮ ON q-SERIES IDENTITIES ARISING FROM LECTURE HALL PARTITIONS ⋮ Generalising a finite version of Euler's partition identity ⋮ Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences ⋮ Lecture hall tableaux ⋮ Anti-lecture hall compositions and Andrews' generalization of the Watson-Whipple transformation

Uses Software

• Omega

Cites Work

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• Lecture hall partitions. II
• Lecture hall partitions
• A refinement of the lecture hall theorem
• Affine Weyl groups as infinite permutations
• On the refined lecture hall theorem
• On the combinatorics of lecture hall partitions
• Partitions and compositions defined by inequalities
• Anti-lecture hall compositions

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