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The Eulerian polynomials of type D have only real roots
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2013 (English)In: Discrete Mathematics & Theoretical Computer Science, ISSN 1462-7264, E-ISSN 1365-8050, 527-538 p.Article in journal (Refereed) Published
Abstract [en]

We give an intrinsic proof of a conjecture of Brenti that all the roots of the Eulerian polynomial of type D are real and a proof of a conjecture of Dilks, Petersen, and Stembridge that all the roots of the affine Eulerian polynomial of type B are real, as well.

Place, publisher, year, edition, pages
2013. 527-538 p.
Keyword [en]
Coxeter group of type d, Eulerian polynomials, Inversion sequences, Polynomials with only real roots
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-139919ScopusID: 2-s2.0-84882283589OAI: diva2:688493
25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013; Paris; France; 24 June 2013 through 28 June 2013

QC 20140117

Available from: 2014-01-17 Created: 2014-01-15 Last updated: 2014-01-17Bibliographically approved

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Visontai, Mirkó
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