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Lecture hall P-partitions
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0003-1055-1474
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden..
2020 (English)In: Journal of Combinatorics, ISSN 2156-3527, E-ISSN 2150-959X, Vol. 11, no 2, p. 391-412Article in journal (Refereed) Published
Abstract [en]

We introduce and study s-lecture hall P-partitions which is a generalization of s-lecture hall partitions to labeled (weighted) posets. We provide generating function identities for s-lecture hall P-partitions that generalize identities obtained by Savage and Schuster for s-lecture hall partitions, and by Stanley for P-partitions. We also prove that the corresponding (P, s)-Eulerian polynomials are real-rooted for certain pairs (P, s), and speculate on unimodality properties of these polynomials.

Place, publisher, year, edition, pages
INT PRESS BOSTON, INC , 2020. Vol. 11, no 2, p. 391-412
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-267165ISI: 000507565100009OAI: oai:DiVA.org:kth-267165DiVA, id: diva2:1391347
Note

QC 20200204

Available from: 2020-02-04 Created: 2020-02-04 Last updated: 2020-02-04Bibliographically approved

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