Lecture hall partitions
From MaRDI portal
Publication:1127631
DOI10.1023/A:1009771306380zbMath0909.05008OpenAlexW138218393MaRDI QIDQ1127631
Mireille Bousquet-Mélou, Kimmo Eriksson
Publication date: 27 October 1998
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1009771306380
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)
Related Items (43)
Polyhedral omega: a new algorithm for solving linear Diophantine systems ⋮ The \((k, l)\)-Euler theorem and the combinatorics of \((k, l)\)-sequences ⋮ Core partitions into distinct parts and an analog of Euler's theorem ⋮ Hilbert bases and lecture hall partitions ⋮ Rational lecture hall polytopes and inflated Eulerian polynomials ⋮ Partition bijections, a survey ⋮ Generating Functions and Triangulations for Lecture Hall Cones ⋮ Betti numbers and anti-lecture Hall compositions of random threshold graphs ⋮ Lattice point generating functions and symmetric cones ⋮ Arctic curves phenomena for bounded lecture Hall tableaux ⋮ Abacus models for parabolic quotients of affine Weyl groups ⋮ A unification of two refinements of Euler's partition theorem ⋮ Balanced partitions ⋮ The lecture hall parallelepiped ⋮ Interview with Peter Paule ⋮ Some algebraic properties of lecture hall polytopes ⋮ Level algebras and \(\boldsymbol{s}\)-lecture hall polytopes ⋮ Cayley compositions, partitions, polytopes, and geometric bijections ⋮ The refined lecture hall theorem via abacus diagrams ⋮ Sylvester's bijection between strict and odd partitions. ⋮ Rigid commutators and a normalizer chain ⋮ Euler's partition theorem and the combinatorics of \(\ell \)-sequences ⋮ \(s\)-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones ⋮ Generalized Fibonacci polynomials and fibonomial coefficients ⋮ Lecture hall theorems, \(q\)-series and truncated objects ⋮ MacMahon's partition analysis: The Omega package ⋮ The mathematics of lecture hall partitions ⋮ ON q-SERIES IDENTITIES ARISING FROM LECTURE HALL PARTITIONS ⋮ A lecture Hall theorem for \(m\)-falling partitions ⋮ Existence of unimodular triangulations — positive results ⋮ A bijection for Euler's partition theorem in the spirit of Bressoud ⋮ Euler’s Partition Theorem and Refinements Without Appeal to Infinite Products ⋮ Certain \(q\)-series identities and applications to lecture hall type partitions ⋮ On \(P\)-partitions related to ordinal sums of posets ⋮ Unnamed Item ⋮ MacMahon partition analysis: a discrete approach to broken stick problems ⋮ Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences ⋮ \(1/k\)-Eulerian polynomials and \(k\)-inversion sequences ⋮ A refinement of the lecture hall theorem ⋮ \(q\)-analogues of Euler's odd = distinct theorem ⋮ Lecture hall tableaux ⋮ Anti-lecture hall compositions and Andrews' generalization of the Watson-Whipple transformation ⋮ Bijective projections on parabolic quotients of affine Weyl groups
This page was built for publication: Lecture hall partitions
