The descent set polynomial revisited

Richard Ehrenborg, N. Bradley Fox

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We continue to explore cyclotomic factors in the descent set polynomial Qn(t), which was introduced by Chebikin, Ehrenborg, Pylyavskyy and Readdy. We obtain large classes of factors of the form Φ2s or Φ4s where s is an odd integer, with many of these being of the form Φ2p where p is a prime. We also show that if Φ2 is a factor of Q2n(t) then it is a double factor. Finally, we give conditions for an odd prime power q=pr for which Φ2p is a double factor of Q2q(t) and of Qq+1(t).

Original languageEnglish
Pages (from-to)47-68
Number of pages22
JournalEuropean Journal of Combinatorics
StatePublished - Jan 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Ltd.

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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