A refinement of the lecture hall theorem

DOI10.1006/jcta.1998.2934zbMath0922.05003OpenAlexW2086682269MaRDI QIDQ1284469

Kimmo Eriksson, Mireille Bousquet-Mélou

Publication date: 17 October 1999

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

Full work available at URL: https://semanticscholar.org/paper/07ea921cc64d3303216c3c4422787b2594e73bfd

zbMATH Keywords

partitionsCoxeter groups\(q\)-calculusbijectionslecture hall partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (13)

Rational lecture hall polytopes and inflated Eulerian polynomials ⋮ Partition bijections, a survey ⋮ Arctic curves phenomena for bounded lecture Hall tableaux ⋮ Anti-lecture Hall compositions and overpartitions ⋮ Cayley compositions, partitions, polytopes, and geometric bijections ⋮ The refined lecture hall theorem via abacus diagrams ⋮ Euler's partition theorem and the combinatorics of \(\ell \)-sequences ⋮ Lecture hall theorems, \(q\)-series and truncated objects ⋮ The mathematics of lecture hall partitions ⋮ A lecture Hall theorem for \(m\)-falling partitions ⋮ Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences ⋮ \(1/k\)-Eulerian polynomials and \(k\)-inversion sequences ⋮ Anti-lecture hall compositions and Andrews' generalization of the Watson-Whipple transformation

Cites Work

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• Lecture hall partitions. II
• Lecture hall partitions
• Affine Weyl groups as infinite permutations
• The Poincaré series of a Coxeter group
• The distribution of descents and length in a Coxeter group

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