The Eulerian polynomials of type D have only real roots
2013 (English)In: Discrete Mathematics & Theoretical Computer Science, ISSN 1462-7264, E-ISSN 1365-8050, 527-538 p.Article in journal (Refereed) Published
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.
Coxeter group of type d, Eulerian polynomials, Inversion sequences, Polynomials with only real roots
IdentifiersURN: urn:nbn:se:kth:diva-139919ScopusID: 2-s2.0-84882283589OAI: oai:DiVA.org:kth-139919DiVA: diva2:688493
25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013; Paris; France; 24 June 2013 through 28 June 2013
QC 201401172014-01-172014-01-152014-01-17Bibliographically approved