Lecture Hall Partitions 2

@inproceedings{Elou1997LectureHP,
  title={Lecture Hall Partitions 2},
  author={Mireille Bousquet-M Elou and Kimmo Eriksson},
  year={1997}
}
For a non-decreasing integer sequence a = (a 1 ; : : :; a n) we deene L a to be the set of n-tuples of integers = (1 ; : : :; n) satisfying 0 1 a1 2 a2 : : : n an : This generalizes the so-called lecture hall partitions, corresponding to a i = i and previously studied by the authors and by G. Andrews. We nd sequences a such that the weight generating function for these a-lecture hall partitions has the remarkable form X 2La q jj = 1 (1 ? q e1)(1 ? q e2) (1 ? q en) : In the limit when n tends to… CONTINUE READING