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Discrete Mathematics & Theoretical Computer Science |
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.
Source : ScholeXplorer
IsRelatedTo ARXIV 1806.03823 Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.jcta.2019.105124 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1806.03823
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