We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Lecture Hall Theorem for m-Falling Partitions.
- Authors
Fu, Shishuo; Tang, Dazhao; Yee, Ae Ja
- Abstract
For an integer m ≥ 2 , a partition λ = (λ 1 , λ 2 , ...) is called m-falling, a notion introduced by Keith, if the least non-negative residues mod m of λ i 's form a nonincreasing sequence. We extend a bijection originally due to the third author to deduce a lecture hall theorem for such m-falling partitions. A special case of this result gives rise to a finite version of Pak–Postnikov's (m, c)-generalization of Euler's theorem. Our work is partially motivated by a recent extension of Euler's theorem for all moduli, due to Xiong and Keith. We note that their result actually can be refined with one more parameter.
- Subjects
EULER theorem; AUDITORIUMS; SEQUENCE spaces
- Publication
Annals of Combinatorics, 2019, Vol 23, Issue 3/4, p749
- ISSN
0218-0006
- Publication type
Article
- DOI
10.1007/s00026-019-00452-9